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Finding the Third Proportional to 247,552 and 377,480

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Solution

The third proportional to 247,552 and 377,480 is: 575,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,552 : 377,480 = 377,480 : x
  2. Step 2: Convert to fraction form
    247,552/377,480 = 377,480/x
  3. Step 3: Cross multiply
    247,552x = 377,480 × 377,480
  4. Step 4: Simplify right side
    247,552x = 142,491,150,400
  5. Step 5: Solve for x
    x = 142,491,150,400/247,552
  6. Step 6: Final answer
    x = 575,600.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.