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Finding the Third Proportional to 543,614 and 799,443

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Solution

The third proportional to 543,614 and 799,443 is: 1,175,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,614 : 799,443 = 799,443 : x
  2. Step 2: Convert to fraction form
    543,614/799,443 = 799,443/x
  3. Step 3: Cross multiply
    543,614x = 799,443 × 799,443
  4. Step 4: Simplify right side
    543,614x = 639,109,110,249
  5. Step 5: Solve for x
    x = 639,109,110,249/543,614
  6. Step 6: Final answer
    x = 1,175,667.13

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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.