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Finding the Third Proportional to 475,440 and 647,550

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Solution

The third proportional to 475,440 and 647,550 is: 881,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,440 : 647,550 = 647,550 : x
  2. Step 2: Convert to fraction form
    475,440/647,550 = 647,550/x
  3. Step 3: Cross multiply
    475,440x = 647,550 × 647,550
  4. Step 4: Simplify right side
    475,440x = 419,321,002,500
  5. Step 5: Solve for x
    x = 419,321,002,500/475,440
  6. Step 6: Final answer
    x = 881,964.08

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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.