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Finding the Third Proportional to 218,358 and 462,957

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Solution

The third proportional to 218,358 and 462,957 is: 981,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,358 : 462,957 = 462,957 : x
  2. Step 2: Convert to fraction form
    218,358/462,957 = 462,957/x
  3. Step 3: Cross multiply
    218,358x = 462,957 × 462,957
  4. Step 4: Simplify right side
    218,358x = 214,329,183,849
  5. Step 5: Solve for x
    x = 214,329,183,849/218,358
  6. Step 6: Final answer
    x = 981,549.49

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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.