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Finding the Third Proportional to 275,977.13 and 415,332.56

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Solution

The third proportional to 275,977.13 and 415,332.56 is: 625,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,977.13 : 415,332.56 = 415,332.56 : x
  2. Step 2: Convert to fraction form
    275,977.13/415,332.56 = 415,332.56/x
  3. Step 3: Cross multiply
    275,977.13x = 415,332.56 × 415,332.56
  4. Step 4: Simplify right side
    275,977.13x = 172,501,137,472.82
  5. Step 5: Solve for x
    x = 172,501,137,472.82/275,977.13
  6. Step 6: Final answer
    x = 625,055.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.