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Finding the Third Proportional to 543,696 and 799,524

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Solution

The third proportional to 543,696 and 799,524 is: 1,175,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,696 : 799,524 = 799,524 : x
  2. Step 2: Convert to fraction form
    543,696/799,524 = 799,524/x
  3. Step 3: Cross multiply
    543,696x = 799,524 × 799,524
  4. Step 4: Simplify right side
    543,696x = 639,238,626,576
  5. Step 5: Solve for x
    x = 639,238,626,576/543,696
  6. Step 6: Final answer
    x = 1,175,728.03

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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.