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Finding the Third Proportional to 543,726 and 799,551

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Solution

The third proportional to 543,726 and 799,551 is: 1,175,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,726 : 799,551 = 799,551 : x
  2. Step 2: Convert to fraction form
    543,726/799,551 = 799,551/x
  3. Step 3: Cross multiply
    543,726x = 799,551 × 799,551
  4. Step 4: Simplify right side
    543,726x = 639,281,801,601
  5. Step 5: Solve for x
    x = 639,281,801,601/543,726
  6. Step 6: Final answer
    x = 1,175,742.56

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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.