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Finding the Third Proportional to 207,630.56 and 452,782.13

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Solution

The third proportional to 207,630.56 and 452,782.13 is: 987,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,630.56 : 452,782.13 = 452,782.13 : x
  2. Step 2: Convert to fraction form
    207,630.56/452,782.13 = 452,782.13/x
  3. Step 3: Cross multiply
    207,630.56x = 452,782.13 × 452,782.13
  4. Step 4: Simplify right side
    207,630.56x = 205,011,652,719.52
  5. Step 5: Solve for x
    x = 205,011,652,719.52/207,630.56
  6. Step 6: Final answer
    x = 987,386.68

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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.