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Finding the Third Proportional to 683,300.81 and 1,495,308.09

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Solution

The third proportional to 683,300.81 and 1,495,308.09 is: 3,272,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,300.81 : 1,495,308.09 = 1,495,308.09 : x
  2. Step 2: Convert to fraction form
    683,300.81/1,495,308.09 = 1,495,308.09/x
  3. Step 3: Cross multiply
    683,300.81x = 1,495,308.09 × 1,495,308.09
  4. Step 4: Simplify right side
    683,300.81x = 2,235,946,295,234.26
  5. Step 5: Solve for x
    x = 2,235,946,295,234.26/683,300.81
  6. Step 6: Final answer
    x = 3,272,272.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.