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Finding the Third Proportional to 324,549 and 708,147

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Solution

The third proportional to 324,549 and 708,147 is: 1,545,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,549 : 708,147 = 708,147 : x
  2. Step 2: Convert to fraction form
    324,549/708,147 = 708,147/x
  3. Step 3: Cross multiply
    324,549x = 708,147 × 708,147
  4. Step 4: Simplify right side
    324,549x = 501,472,173,609
  5. Step 5: Solve for x
    x = 501,472,173,609/324,549
  6. Step 6: Final answer
    x = 1,545,135.48

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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.