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Finding the Third Proportional to 485,442 and 728,162

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Solution

The third proportional to 485,442 and 728,162 is: 1,092,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,442 : 728,162 = 728,162 : x
  2. Step 2: Convert to fraction form
    485,442/728,162 = 728,162/x
  3. Step 3: Cross multiply
    485,442x = 728,162 × 728,162
  4. Step 4: Simplify right side
    485,442x = 530,219,898,244
  5. Step 5: Solve for x
    x = 530,219,898,244/485,442
  6. Step 6: Final answer
    x = 1,092,241.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.