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Finding the Third Proportional to 215,599 and 468,949

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Solution

The third proportional to 215,599 and 468,949 is: 1,020,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,599 : 468,949 = 468,949 : x
  2. Step 2: Convert to fraction form
    215,599/468,949 = 468,949/x
  3. Step 3: Cross multiply
    215,599x = 468,949 × 468,949
  4. Step 4: Simplify right side
    215,599x = 219,913,164,601
  5. Step 5: Solve for x
    x = 219,913,164,601/215,599
  6. Step 6: Final answer
    x = 1,020,010.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.