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Finding the Third Proportional to 439,489.13 and 660,403.13

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Solution

The third proportional to 439,489.13 and 660,403.13 is: 992,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,489.13 : 660,403.13 = 660,403.13 : x
  2. Step 2: Convert to fraction form
    439,489.13/660,403.13 = 660,403.13/x
  3. Step 3: Cross multiply
    439,489.13x = 660,403.13 × 660,403.13
  4. Step 4: Simplify right side
    439,489.13x = 436,132,287,509.77
  5. Step 5: Solve for x
    x = 436,132,287,509.77/439,489.13
  6. Step 6: Final answer
    x = 992,361.96

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