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Finding the Third Proportional to 218,359 and 462,963

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Solution

The third proportional to 218,359 and 462,963 is: 981,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,359 : 462,963 = 462,963 : x
  2. Step 2: Convert to fraction form
    218,359/462,963 = 462,963/x
  3. Step 3: Cross multiply
    218,359x = 462,963 × 462,963
  4. Step 4: Simplify right side
    218,359x = 214,334,739,369
  5. Step 5: Solve for x
    x = 214,334,739,369/218,359
  6. Step 6: Final answer
    x = 981,570.44

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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.