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Finding the Third Proportional to 324,540 and 708,129

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Solution

The third proportional to 324,540 and 708,129 is: 1,545,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,540 : 708,129 = 708,129 : x
  2. Step 2: Convert to fraction form
    324,540/708,129 = 708,129/x
  3. Step 3: Cross multiply
    324,540x = 708,129 × 708,129
  4. Step 4: Simplify right side
    324,540x = 501,446,680,641
  5. Step 5: Solve for x
    x = 501,446,680,641/324,540
  6. Step 6: Final answer
    x = 1,545,099.77

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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.