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Finding the Third Proportional to 543,514 and 738,077.75

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Solution

The third proportional to 543,514 and 738,077.75 is: 1,002,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,514 : 738,077.75 = 738,077.75 : x
  2. Step 2: Convert to fraction form
    543,514/738,077.75 = 738,077.75/x
  3. Step 3: Cross multiply
    543,514x = 738,077.75 × 738,077.75
  4. Step 4: Simplify right side
    543,514x = 544,758,765,045.06
  5. Step 5: Solve for x
    x = 544,758,765,045.06/543,514
  6. Step 6: Final answer
    x = 1,002,290.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.