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Finding the Third Proportional to 475,524 and 738,678

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Solution

The third proportional to 475,524 and 738,678 is: 1,147,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,524 : 738,678 = 738,678 : x
  2. Step 2: Convert to fraction form
    475,524/738,678 = 738,678/x
  3. Step 3: Cross multiply
    475,524x = 738,678 × 738,678
  4. Step 4: Simplify right side
    475,524x = 545,645,187,684
  5. Step 5: Solve for x
    x = 545,645,187,684/475,524
  6. Step 6: Final answer
    x = 1,147,460.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.