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Finding the Third Proportional to 475,434 and 647,540

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Solution

The third proportional to 475,434 and 647,540 is: 881,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,434 : 647,540 = 647,540 : x
  2. Step 2: Convert to fraction form
    475,434/647,540 = 647,540/x
  3. Step 3: Cross multiply
    475,434x = 647,540 × 647,540
  4. Step 4: Simplify right side
    475,434x = 419,308,051,600
  5. Step 5: Solve for x
    x = 419,308,051,600/475,434
  6. Step 6: Final answer
    x = 881,947.97

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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.