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Finding the Third Proportional to 527,363.63 and 746,704.13

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Solution

The third proportional to 527,363.63 and 746,704.13 is: 1,057,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,363.63 : 746,704.13 = 746,704.13 : x
  2. Step 2: Convert to fraction form
    527,363.63/746,704.13 = 746,704.13/x
  3. Step 3: Cross multiply
    527,363.63x = 746,704.13 × 746,704.13
  4. Step 4: Simplify right side
    527,363.63x = 557,567,050,292.02
  5. Step 5: Solve for x
    x = 557,567,050,292.02/527,363.63
  6. Step 6: Final answer
    x = 1,057,272.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.