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Finding the Third Proportional to 307,687 and 465,632

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Solution

The third proportional to 307,687 and 465,632 is: 704,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,687 : 465,632 = 465,632 : x
  2. Step 2: Convert to fraction form
    307,687/465,632 = 465,632/x
  3. Step 3: Cross multiply
    307,687x = 465,632 × 465,632
  4. Step 4: Simplify right side
    307,687x = 216,813,159,424
  5. Step 5: Solve for x
    x = 216,813,159,424/307,687
  6. Step 6: Final answer
    x = 704,654.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.