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Finding the Third Proportional to 499,605.75 and 740,794.50

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Solution

The third proportional to 499,605.75 and 740,794.50 is: 1,098,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,605.75 : 740,794.50 = 740,794.50 : x
  2. Step 2: Convert to fraction form
    499,605.75/740,794.50 = 740,794.50/x
  3. Step 3: Cross multiply
    499,605.75x = 740,794.50 × 740,794.50
  4. Step 4: Simplify right side
    499,605.75x = 548,776,491,230.25
  5. Step 5: Solve for x
    x = 548,776,491,230.25/499,605.75
  6. Step 6: Final answer
    x = 1,098,419.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.