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Finding the Third Proportional to 409,842.28 and 614,812.78

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Solution

The third proportional to 409,842.28 and 614,812.78 is: 922,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,842.28 : 614,812.78 = 614,812.78 : x
  2. Step 2: Convert to fraction form
    409,842.28/614,812.78 = 614,812.78/x
  3. Step 3: Cross multiply
    409,842.28x = 614,812.78 × 614,812.78
  4. Step 4: Simplify right side
    409,842.28x = 377,994,755,988.36
  5. Step 5: Solve for x
    x = 377,994,755,988.36/409,842.28
  6. Step 6: Final answer
    x = 922,293.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.