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Finding the Third Proportional to 543,598 and 799,419

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Solution

The third proportional to 543,598 and 799,419 is: 1,175,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,598 : 799,419 = 799,419 : x
  2. Step 2: Convert to fraction form
    543,598/799,419 = 799,419/x
  3. Step 3: Cross multiply
    543,598x = 799,419 × 799,419
  4. Step 4: Simplify right side
    543,598x = 639,070,737,561
  5. Step 5: Solve for x
    x = 639,070,737,561/543,598
  6. Step 6: Final answer
    x = 1,175,631.14

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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.