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Finding the Third Proportional to 218,906 and 471,988

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Solution

The third proportional to 218,906 and 471,988 is: 1,017,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,906 : 471,988 = 471,988 : x
  2. Step 2: Convert to fraction form
    218,906/471,988 = 471,988/x
  3. Step 3: Cross multiply
    218,906x = 471,988 × 471,988
  4. Step 4: Simplify right side
    218,906x = 222,772,672,144
  5. Step 5: Solve for x
    x = 222,772,672,144/218,906
  6. Step 6: Final answer
    x = 1,017,663.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.