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Finding the Third Proportional to 498,861.75 and 760,747.88

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Solution

The third proportional to 498,861.75 and 760,747.88 is: 1,160,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,861.75 : 760,747.88 = 760,747.88 : x
  2. Step 2: Convert to fraction form
    498,861.75/760,747.88 = 760,747.88/x
  3. Step 3: Cross multiply
    498,861.75x = 760,747.88 × 760,747.88
  4. Step 4: Simplify right side
    498,861.75x = 578,737,329,317.02
  5. Step 5: Solve for x
    x = 578,737,329,317.02/498,861.75
  6. Step 6: Final answer
    x = 1,160,115.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.