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Finding the Third Proportional to 356,598 and 729,591.75

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Solution

The third proportional to 356,598 and 729,591.75 is: 1,492,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,598 : 729,591.75 = 729,591.75 : x
  2. Step 2: Convert to fraction form
    356,598/729,591.75 = 729,591.75/x
  3. Step 3: Cross multiply
    356,598x = 729,591.75 × 729,591.75
  4. Step 4: Simplify right side
    356,598x = 532,304,121,668.06
  5. Step 5: Solve for x
    x = 532,304,121,668.06/356,598
  6. Step 6: Final answer
    x = 1,492,728.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.