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Finding the Third Proportional to 218,360 and 462,961

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Solution

The third proportional to 218,360 and 462,961 is: 981,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,360 : 462,961 = 462,961 : x
  2. Step 2: Convert to fraction form
    218,360/462,961 = 462,961/x
  3. Step 3: Cross multiply
    218,360x = 462,961 × 462,961
  4. Step 4: Simplify right side
    218,360x = 214,332,887,521
  5. Step 5: Solve for x
    x = 214,332,887,521/218,360
  6. Step 6: Final answer
    x = 981,557.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.