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Finding the Third Proportional to 402,472.13 and 544,659.19

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Solution

The third proportional to 402,472.13 and 544,659.19 is: 737,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,472.13 : 544,659.19 = 544,659.19 : x
  2. Step 2: Convert to fraction form
    402,472.13/544,659.19 = 544,659.19/x
  3. Step 3: Cross multiply
    402,472.13x = 544,659.19 × 544,659.19
  4. Step 4: Simplify right side
    402,472.13x = 296,653,630,528.16
  5. Step 5: Solve for x
    x = 296,653,630,528.16/402,472.13
  6. Step 6: Final answer
    x = 737,078.70

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.