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Finding the Third Proportional to 467,805.38 and 753,391.13

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Solution

The third proportional to 467,805.38 and 753,391.13 is: 1,213,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,805.38 : 753,391.13 = 753,391.13 : x
  2. Step 2: Convert to fraction form
    467,805.38/753,391.13 = 753,391.13/x
  3. Step 3: Cross multiply
    467,805.38x = 753,391.13 × 753,391.13
  4. Step 4: Simplify right side
    467,805.38x = 567,598,187,228.77
  5. Step 5: Solve for x
    x = 567,598,187,228.77/467,805.38
  6. Step 6: Final answer
    x = 1,213,321.22

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.