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Finding the Third Proportional to 227,945.25 and 527,652.56

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Solution

The third proportional to 227,945.25 and 527,652.56 is: 1,221,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,945.25 : 527,652.56 = 527,652.56 : x
  2. Step 2: Convert to fraction form
    227,945.25/527,652.56 = 527,652.56/x
  3. Step 3: Cross multiply
    227,945.25x = 527,652.56 × 527,652.56
  4. Step 4: Simplify right side
    227,945.25x = 278,417,226,712.82
  5. Step 5: Solve for x
    x = 278,417,226,712.82/227,945.25
  6. Step 6: Final answer
    x = 1,221,421.49

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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.