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Finding the Third Proportional to 232,867.50 and 480,600

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Solution

The third proportional to 232,867.50 and 480,600 is: 991,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,867.50 : 480,600 = 480,600 : x
  2. Step 2: Convert to fraction form
    232,867.50/480,600 = 480,600/x
  3. Step 3: Cross multiply
    232,867.50x = 480,600 × 480,600
  4. Step 4: Simplify right side
    232,867.50x = 230,976,360,000
  5. Step 5: Solve for x
    x = 230,976,360,000/232,867.50
  6. Step 6: Final answer
    x = 991,878.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.