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Finding the Third Proportional to 324,794 and 708,609

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Solution

The third proportional to 324,794 and 708,609 is: 1,545,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,794 : 708,609 = 708,609 : x
  2. Step 2: Convert to fraction form
    324,794/708,609 = 708,609/x
  3. Step 3: Cross multiply
    324,794x = 708,609 × 708,609
  4. Step 4: Simplify right side
    324,794x = 502,126,714,881
  5. Step 5: Solve for x
    x = 502,126,714,881/324,794
  6. Step 6: Final answer
    x = 1,545,985.19

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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.