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Finding the Third Proportional to 217,460 and 449,842

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Solution

The third proportional to 217,460 and 449,842 is: 930,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,460 : 449,842 = 449,842 : x
  2. Step 2: Convert to fraction form
    217,460/449,842 = 449,842/x
  3. Step 3: Cross multiply
    217,460x = 449,842 × 449,842
  4. Step 4: Simplify right side
    217,460x = 202,357,824,964
  5. Step 5: Solve for x
    x = 202,357,824,964/217,460
  6. Step 6: Final answer
    x = 930,551.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.