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Finding the Third Proportional to 488,233.13 and 739,234.69

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Solution

The third proportional to 488,233.13 and 739,234.69 is: 1,119,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,233.13 : 739,234.69 = 739,234.69 : x
  2. Step 2: Convert to fraction form
    488,233.13/739,234.69 = 739,234.69/x
  3. Step 3: Cross multiply
    488,233.13x = 739,234.69 × 739,234.69
  4. Step 4: Simplify right side
    488,233.13x = 546,467,923,203.22
  5. Step 5: Solve for x
    x = 546,467,923,203.22/488,233.13
  6. Step 6: Final answer
    x = 1,119,276.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.