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Finding the Third Proportional to 465,689.25 and 683,201.25

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Solution

The third proportional to 465,689.25 and 683,201.25 is: 1,002,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,689.25 : 683,201.25 = 683,201.25 : x
  2. Step 2: Convert to fraction form
    465,689.25/683,201.25 = 683,201.25/x
  3. Step 3: Cross multiply
    465,689.25x = 683,201.25 × 683,201.25
  4. Step 4: Simplify right side
    465,689.25x = 466,763,948,001.56
  5. Step 5: Solve for x
    x = 466,763,948,001.56/465,689.25
  6. Step 6: Final answer
    x = 1,002,307.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.