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Finding the Third Proportional to 288,235.13 and 458,013.66

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Solution

The third proportional to 288,235.13 and 458,013.66 is: 727,796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,235.13 : 458,013.66 = 458,013.66 : x
  2. Step 2: Convert to fraction form
    288,235.13/458,013.66 = 458,013.66/x
  3. Step 3: Cross multiply
    288,235.13x = 458,013.66 × 458,013.66
  4. Step 4: Simplify right side
    288,235.13x = 209,776,509,311.49
  5. Step 5: Solve for x
    x = 209,776,509,311.49/288,235.13
  6. Step 6: Final answer
    x = 727,796.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.