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Finding the Third Proportional to 534,750 and 799,422

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Solution

The third proportional to 534,750 and 799,422 is: 1,195,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,750 : 799,422 = 799,422 : x
  2. Step 2: Convert to fraction form
    534,750/799,422 = 799,422/x
  3. Step 3: Cross multiply
    534,750x = 799,422 × 799,422
  4. Step 4: Simplify right side
    534,750x = 639,075,534,084
  5. Step 5: Solve for x
    x = 639,075,534,084/534,750
  6. Step 6: Final answer
    x = 1,195,092.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.