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Finding the Third Proportional to 207,472.50 and 452,647.13

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Solution

The third proportional to 207,472.50 and 452,647.13 is: 987,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,472.50 : 452,647.13 = 452,647.13 : x
  2. Step 2: Convert to fraction form
    207,472.50/452,647.13 = 452,647.13/x
  3. Step 3: Cross multiply
    207,472.50x = 452,647.13 × 452,647.13
  4. Step 4: Simplify right side
    207,472.50x = 204,889,419,770.77
  5. Step 5: Solve for x
    x = 204,889,419,770.77/207,472.50
  6. Step 6: Final answer
    x = 987,549.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.