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Finding the Third Proportional to 207,571 and 453,597

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Solution

The third proportional to 207,571 and 453,597 is: 991,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,571 : 453,597 = 453,597 : x
  2. Step 2: Convert to fraction form
    207,571/453,597 = 453,597/x
  3. Step 3: Cross multiply
    207,571x = 453,597 × 453,597
  4. Step 4: Simplify right side
    207,571x = 205,750,238,409
  5. Step 5: Solve for x
    x = 205,750,238,409/207,571
  6. Step 6: Final answer
    x = 991,228.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.