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Finding the Third Proportional to 217,098 and 467,419.50

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Solution

The third proportional to 217,098 and 467,419.50 is: 1,006,370.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,098 : 467,419.50 = 467,419.50 : x
  2. Step 2: Convert to fraction form
    217,098/467,419.50 = 467,419.50/x
  3. Step 3: Cross multiply
    217,098x = 467,419.50 × 467,419.50
  4. Step 4: Simplify right side
    217,098x = 218,480,988,980.25
  5. Step 5: Solve for x
    x = 218,480,988,980.25/217,098
  6. Step 6: Final answer
    x = 1,006,370.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.