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Finding the Third Proportional to 227,822.63 and 527,421.38

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Solution

The third proportional to 227,822.63 and 527,421.38 is: 1,221,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,822.63 : 527,421.38 = 527,421.38 : x
  2. Step 2: Convert to fraction form
    227,822.63/527,421.38 = 527,421.38/x
  3. Step 3: Cross multiply
    227,822.63x = 527,421.38 × 527,421.38
  4. Step 4: Simplify right side
    227,822.63x = 278,173,306,806.89
  5. Step 5: Solve for x
    x = 278,173,306,806.89/227,822.63
  6. Step 6: Final answer
    x = 1,221,008.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.