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Finding the Third Proportional to 299,344.50 and 440,257.50

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Solution

The third proportional to 299,344.50 and 440,257.50 is: 647,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,344.50 : 440,257.50 = 440,257.50 : x
  2. Step 2: Convert to fraction form
    299,344.50/440,257.50 = 440,257.50/x
  3. Step 3: Cross multiply
    299,344.50x = 440,257.50 × 440,257.50
  4. Step 4: Simplify right side
    299,344.50x = 193,826,666,306.25
  5. Step 5: Solve for x
    x = 193,826,666,306.25/299,344.50
  6. Step 6: Final answer
    x = 647,503.68

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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.