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Finding the Third Proportional to 207,081 and 452,934

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Solution

The third proportional to 207,081 and 452,934 is: 990,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,081 : 452,934 = 452,934 : x
  2. Step 2: Convert to fraction form
    207,081/452,934 = 452,934/x
  3. Step 3: Cross multiply
    207,081x = 452,934 × 452,934
  4. Step 4: Simplify right side
    207,081x = 205,149,208,356
  5. Step 5: Solve for x
    x = 205,149,208,356/207,081
  6. Step 6: Final answer
    x = 990,671.32

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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.