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Finding the Third Proportional to 440,791 and 654,703

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Solution

The third proportional to 440,791 and 654,703 is: 972,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,791 : 654,703 = 654,703 : x
  2. Step 2: Convert to fraction form
    440,791/654,703 = 654,703/x
  3. Step 3: Cross multiply
    440,791x = 654,703 × 654,703
  4. Step 4: Simplify right side
    440,791x = 428,636,018,209
  5. Step 5: Solve for x
    x = 428,636,018,209/440,791
  6. Step 6: Final answer
    x = 972,424.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.