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Finding the Third Proportional to 543,277.13 and 737,839.13

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Solution

The third proportional to 543,277.13 and 737,839.13 is: 1,002,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,277.13 : 737,839.13 = 737,839.13 : x
  2. Step 2: Convert to fraction form
    543,277.13/737,839.13 = 737,839.13/x
  3. Step 3: Cross multiply
    543,277.13x = 737,839.13 × 737,839.13
  4. Step 4: Simplify right side
    543,277.13x = 544,406,574,380.77
  5. Step 5: Solve for x
    x = 544,406,574,380.77/543,277.13
  6. Step 6: Final answer
    x = 1,002,078.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.