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Finding the Third Proportional to 218,364 and 462,972

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Solution

The third proportional to 218,364 and 462,972 is: 981,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,364 : 462,972 = 462,972 : x
  2. Step 2: Convert to fraction form
    218,364/462,972 = 462,972/x
  3. Step 3: Cross multiply
    218,364x = 462,972 × 462,972
  4. Step 4: Simplify right side
    218,364x = 214,343,072,784
  5. Step 5: Solve for x
    x = 214,343,072,784/218,364
  6. Step 6: Final answer
    x = 981,586.13

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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.