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Finding the Third Proportional to 324,555 and 708,159

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Solution

The third proportional to 324,555 and 708,159 is: 1,545,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,555 : 708,159 = 708,159 : x
  2. Step 2: Convert to fraction form
    324,555/708,159 = 708,159/x
  3. Step 3: Cross multiply
    324,555x = 708,159 × 708,159
  4. Step 4: Simplify right side
    324,555x = 501,489,169,281
  5. Step 5: Solve for x
    x = 501,489,169,281/324,555
  6. Step 6: Final answer
    x = 1,545,159.28

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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.