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Finding the Third Proportional to 229,723.88 and 527,277.38

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Solution

The third proportional to 229,723.88 and 527,277.38 is: 1,210,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,723.88 : 527,277.38 = 527,277.38 : x
  2. Step 2: Convert to fraction form
    229,723.88/527,277.38 = 527,277.38/x
  3. Step 3: Cross multiply
    229,723.88x = 527,277.38 × 527,277.38
  4. Step 4: Simplify right side
    229,723.88x = 278,021,430,186.89
  5. Step 5: Solve for x
    x = 278,021,430,186.89/229,723.88
  6. Step 6: Final answer
    x = 1,210,241.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.