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Finding the Third Proportional to 409,584.61 and 614,376.97

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Solution

The third proportional to 409,584.61 and 614,376.97 is: 921,565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,584.61 : 614,376.97 = 614,376.97 : x
  2. Step 2: Convert to fraction form
    409,584.61/614,376.97 = 614,376.97/x
  3. Step 3: Cross multiply
    409,584.61x = 614,376.97 × 614,376.97
  4. Step 4: Simplify right side
    409,584.61x = 377,459,062,730.32
  5. Step 5: Solve for x
    x = 377,459,062,730.32/409,584.61
  6. Step 6: Final answer
    x = 921,565.55

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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.