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Finding the Third Proportional to 207,598 and 453,972

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Solution

The third proportional to 207,598 and 453,972 is: 992,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,598 : 453,972 = 453,972 : x
  2. Step 2: Convert to fraction form
    207,598/453,972 = 453,972/x
  3. Step 3: Cross multiply
    207,598x = 453,972 × 453,972
  4. Step 4: Simplify right side
    207,598x = 206,090,576,784
  5. Step 5: Solve for x
    x = 206,090,576,784/207,598
  6. Step 6: Final answer
    x = 992,738.74

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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.