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Finding the Third Proportional to 609,493.50 and 929,713.50

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Solution

The third proportional to 609,493.50 and 929,713.50 is: 1,418,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,493.50 : 929,713.50 = 929,713.50 : x
  2. Step 2: Convert to fraction form
    609,493.50/929,713.50 = 929,713.50/x
  3. Step 3: Cross multiply
    609,493.50x = 929,713.50 × 929,713.50
  4. Step 4: Simplify right side
    609,493.50x = 864,367,192,082.25
  5. Step 5: Solve for x
    x = 864,367,192,082.25/609,493.50
  6. Step 6: Final answer
    x = 1,418,172.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.