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Finding the Third Proportional to 591,163 and 842,450

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Solution

The third proportional to 591,163 and 842,450 is: 1,200,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,163 : 842,450 = 842,450 : x
  2. Step 2: Convert to fraction form
    591,163/842,450 = 842,450/x
  3. Step 3: Cross multiply
    591,163x = 842,450 × 842,450
  4. Step 4: Simplify right side
    591,163x = 709,722,002,500
  5. Step 5: Solve for x
    x = 709,722,002,500/591,163
  6. Step 6: Final answer
    x = 1,200,552.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.