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Finding the Third Proportional to 324,550 and 708,150

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Solution

The third proportional to 324,550 and 708,150 is: 1,545,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,550 : 708,150 = 708,150 : x
  2. Step 2: Convert to fraction form
    324,550/708,150 = 708,150/x
  3. Step 3: Cross multiply
    324,550x = 708,150 × 708,150
  4. Step 4: Simplify right side
    324,550x = 501,476,422,500
  5. Step 5: Solve for x
    x = 501,476,422,500/324,550
  6. Step 6: Final answer
    x = 1,545,143.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.