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Finding the Third Proportional to 485,450 and 753,735

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Solution

The third proportional to 485,450 and 753,735 is: 1,170,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,450 : 753,735 = 753,735 : x
  2. Step 2: Convert to fraction form
    485,450/753,735 = 753,735/x
  3. Step 3: Cross multiply
    485,450x = 753,735 × 753,735
  4. Step 4: Simplify right side
    485,450x = 568,116,450,225
  5. Step 5: Solve for x
    x = 568,116,450,225/485,450
  6. Step 6: Final answer
    x = 1,170,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.