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Finding the Third Proportional to 288,452 and 610,150

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Solution

The third proportional to 288,452 and 610,150 is: 1,290,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,452 : 610,150 = 610,150 : x
  2. Step 2: Convert to fraction form
    288,452/610,150 = 610,150/x
  3. Step 3: Cross multiply
    288,452x = 610,150 × 610,150
  4. Step 4: Simplify right side
    288,452x = 372,283,022,500
  5. Step 5: Solve for x
    x = 372,283,022,500/288,452
  6. Step 6: Final answer
    x = 1,290,623.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.