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Finding the Third Proportional to 218,394 and 463,032

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Solution

The third proportional to 218,394 and 463,032 is: 981,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,394 : 463,032 = 463,032 : x
  2. Step 2: Convert to fraction form
    218,394/463,032 = 463,032/x
  3. Step 3: Cross multiply
    218,394x = 463,032 × 463,032
  4. Step 4: Simplify right side
    218,394x = 214,398,633,024
  5. Step 5: Solve for x
    x = 214,398,633,024/218,394
  6. Step 6: Final answer
    x = 981,705.69

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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.