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Finding the Third Proportional to 513,388.69 and 798,082.88

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Solution

The third proportional to 513,388.69 and 798,082.88 is: 1,240,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,388.69 : 798,082.88 = 798,082.88 : x
  2. Step 2: Convert to fraction form
    513,388.69/798,082.88 = 798,082.88/x
  3. Step 3: Cross multiply
    513,388.69x = 798,082.88 × 798,082.88
  4. Step 4: Simplify right side
    513,388.69x = 636,936,275,368.27
  5. Step 5: Solve for x
    x = 636,936,275,368.27/513,388.69
  6. Step 6: Final answer
    x = 1,240,651.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.