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Finding the Third Proportional to 356,599.13 and 523,982.25

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Solution

The third proportional to 356,599.13 and 523,982.25 is: 769,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,599.13 : 523,982.25 = 523,982.25 : x
  2. Step 2: Convert to fraction form
    356,599.13/523,982.25 = 523,982.25/x
  3. Step 3: Cross multiply
    356,599.13x = 523,982.25 × 523,982.25
  4. Step 4: Simplify right side
    356,599.13x = 274,557,398,315.06
  5. Step 5: Solve for x
    x = 274,557,398,315.06/356,599.13
  6. Step 6: Final answer
    x = 769,932.90

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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.