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Finding the Third Proportional to 218,358.75 and 462,962.63

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Solution

The third proportional to 218,358.75 and 462,962.63 is: 981,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,358.75 : 462,962.63 = 462,962.63 : x
  2. Step 2: Convert to fraction form
    218,358.75/462,962.63 = 462,962.63/x
  3. Step 3: Cross multiply
    218,358.75x = 462,962.63 × 462,962.63
  4. Step 4: Simplify right side
    218,358.75x = 214,334,392,146.89
  5. Step 5: Solve for x
    x = 214,334,392,146.89/218,358.75
  6. Step 6: Final answer
    x = 981,569.97

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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.