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Finding the Third Proportional to 329,636.25 and 710,464.50

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Solution

The third proportional to 329,636.25 and 710,464.50 is: 1,531,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,636.25 : 710,464.50 = 710,464.50 : x
  2. Step 2: Convert to fraction form
    329,636.25/710,464.50 = 710,464.50/x
  3. Step 3: Cross multiply
    329,636.25x = 710,464.50 × 710,464.50
  4. Step 4: Simplify right side
    329,636.25x = 504,759,805,760.25
  5. Step 5: Solve for x
    x = 504,759,805,760.25/329,636.25
  6. Step 6: Final answer
    x = 1,531,263.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.