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Finding the Third Proportional to 543,698 and 799,539

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Solution

The third proportional to 543,698 and 799,539 is: 1,175,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,698 : 799,539 = 799,539 : x
  2. Step 2: Convert to fraction form
    543,698/799,539 = 799,539/x
  3. Step 3: Cross multiply
    543,698x = 799,539 × 799,539
  4. Step 4: Simplify right side
    543,698x = 639,262,612,521
  5. Step 5: Solve for x
    x = 639,262,612,521/543,698
  6. Step 6: Final answer
    x = 1,175,767.82

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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.