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Finding the Third Proportional to 230,856 and 494,557.50

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Solution

The third proportional to 230,856 and 494,557.50 is: 1,059,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,856 : 494,557.50 = 494,557.50 : x
  2. Step 2: Convert to fraction form
    230,856/494,557.50 = 494,557.50/x
  3. Step 3: Cross multiply
    230,856x = 494,557.50 × 494,557.50
  4. Step 4: Simplify right side
    230,856x = 244,587,120,806.25
  5. Step 5: Solve for x
    x = 244,587,120,806.25/230,856
  6. Step 6: Final answer
    x = 1,059,479.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.