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Finding the Third Proportional to 459,742,636.50 and 688,939,751.25

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Solution

The third proportional to 459,742,636.50 and 688,939,751.25 is: 1,032,399,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,742,636.50 : 688,939,751.25 = 688,939,751.25 : x
  2. Step 2: Convert to fraction form
    459,742,636.50/688,939,751.25 = 688,939,751.25/x
  3. Step 3: Cross multiply
    459,742,636.50x = 688,939,751.25 × 688,939,751.25
  4. Step 4: Simplify right side
    459,742,636.50x = 474,637,980,852,411,904
  5. Step 5: Solve for x
    x = 474,637,980,852,411,904/459,742,636.50
  6. Step 6: Final answer
    x = 1,032,399,310.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.