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Finding the Third Proportional to 227,948 and 527,659

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Solution

The third proportional to 227,948 and 527,659 is: 1,221,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,948 : 527,659 = 527,659 : x
  2. Step 2: Convert to fraction form
    227,948/527,659 = 527,659/x
  3. Step 3: Cross multiply
    227,948x = 527,659 × 527,659
  4. Step 4: Simplify right side
    227,948x = 278,424,020,281
  5. Step 5: Solve for x
    x = 278,424,020,281/227,948
  6. Step 6: Final answer
    x = 1,221,436.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.