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Finding the Third Proportional to 393,643.13 and 554,711.63

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Solution

The third proportional to 393,643.13 and 554,711.63 is: 781,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,643.13 : 554,711.63 = 554,711.63 : x
  2. Step 2: Convert to fraction form
    393,643.13/554,711.63 = 554,711.63/x
  3. Step 3: Cross multiply
    393,643.13x = 554,711.63 × 554,711.63
  4. Step 4: Simplify right side
    393,643.13x = 307,704,986,910.14
  5. Step 5: Solve for x
    x = 307,704,986,910.14/393,643.13
  6. Step 6: Final answer
    x = 781,685.15

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.