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Finding the Third Proportional to 324,238.50 and 708,679.13

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Solution

The third proportional to 324,238.50 and 708,679.13 is: 1,548,940.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,238.50 : 708,679.13 = 708,679.13 : x
  2. Step 2: Convert to fraction form
    324,238.50/708,679.13 = 708,679.13/x
  3. Step 3: Cross multiply
    324,238.50x = 708,679.13 × 708,679.13
  4. Step 4: Simplify right side
    324,238.50x = 502,226,102,210.77
  5. Step 5: Solve for x
    x = 502,226,102,210.77/324,238.50
  6. Step 6: Final answer
    x = 1,548,940.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.