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Finding the Third Proportional to 482,610.25 and 728,861

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Solution

The third proportional to 482,610.25 and 728,861 is: 1,100,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,610.25 : 728,861 = 728,861 : x
  2. Step 2: Convert to fraction form
    482,610.25/728,861 = 728,861/x
  3. Step 3: Cross multiply
    482,610.25x = 728,861 × 728,861
  4. Step 4: Simplify right side
    482,610.25x = 531,238,357,321
  5. Step 5: Solve for x
    x = 531,238,357,321/482,610.25
  6. Step 6: Final answer
    x = 1,100,760.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.