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Finding the Third Proportional to 227,943.49 and 527,647.92

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Solution

The third proportional to 227,943.49 and 527,647.92 is: 1,221,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,943.49 : 527,647.92 = 527,647.92 : x
  2. Step 2: Convert to fraction form
    227,943.49/527,647.92 = 527,647.92/x
  3. Step 3: Cross multiply
    227,943.49x = 527,647.92 × 527,647.92
  4. Step 4: Simplify right side
    227,943.49x = 278,412,329,459.01
  5. Step 5: Solve for x
    x = 278,412,329,459.01/227,943.49
  6. Step 6: Final answer
    x = 1,221,409.42

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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.