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Finding the Third Proportional to 247,370 and 375,775

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Solution

The third proportional to 247,370 and 375,775 is: 570,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,370 : 375,775 = 375,775 : x
  2. Step 2: Convert to fraction form
    247,370/375,775 = 375,775/x
  3. Step 3: Cross multiply
    247,370x = 375,775 × 375,775
  4. Step 4: Simplify right side
    247,370x = 141,206,850,625
  5. Step 5: Solve for x
    x = 141,206,850,625/247,370
  6. Step 6: Final answer
    x = 570,832.56

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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.