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Finding the Third Proportional to 382,311 and 534,724.50

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Solution

The third proportional to 382,311 and 534,724.50 is: 747,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,311 : 534,724.50 = 534,724.50 : x
  2. Step 2: Convert to fraction form
    382,311/534,724.50 = 534,724.50/x
  3. Step 3: Cross multiply
    382,311x = 534,724.50 × 534,724.50
  4. Step 4: Simplify right side
    382,311x = 285,930,290,900.25
  5. Step 5: Solve for x
    x = 285,930,290,900.25/382,311
  6. Step 6: Final answer
    x = 747,899.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.