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Finding the Third Proportional to 543,174.75 and 798,114.38

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Solution

The third proportional to 543,174.75 and 798,114.38 is: 1,172,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,174.75 : 798,114.38 = 798,114.38 : x
  2. Step 2: Convert to fraction form
    543,174.75/798,114.38 = 798,114.38/x
  3. Step 3: Cross multiply
    543,174.75x = 798,114.38 × 798,114.38
  4. Step 4: Simplify right side
    543,174.75x = 636,986,555,581.64
  5. Step 5: Solve for x
    x = 636,986,555,581.64/543,174.75
  6. Step 6: Final answer
    x = 1,172,710.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.