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Finding the Third Proportional to 475,794 and 700,542

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Solution

The third proportional to 475,794 and 700,542 is: 1,031,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,794 : 700,542 = 700,542 : x
  2. Step 2: Convert to fraction form
    475,794/700,542 = 700,542/x
  3. Step 3: Cross multiply
    475,794x = 700,542 × 700,542
  4. Step 4: Simplify right side
    475,794x = 490,759,093,764
  5. Step 5: Solve for x
    x = 490,759,093,764/475,794
  6. Step 6: Final answer
    x = 1,031,452.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.