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Finding the Third Proportional to 207,078 and 452,922

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Solution

The third proportional to 207,078 and 452,922 is: 990,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,078 : 452,922 = 452,922 : x
  2. Step 2: Convert to fraction form
    207,078/452,922 = 452,922/x
  3. Step 3: Cross multiply
    207,078x = 452,922 × 452,922
  4. Step 4: Simplify right side
    207,078x = 205,138,338,084
  5. Step 5: Solve for x
    x = 205,138,338,084/207,078
  6. Step 6: Final answer
    x = 990,633.18

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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.