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Finding the Third Proportional to 324,785 and 708,592

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Solution

The third proportional to 324,785 and 708,592 is: 1,545,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,785 : 708,592 = 708,592 : x
  2. Step 2: Convert to fraction form
    324,785/708,592 = 708,592/x
  3. Step 3: Cross multiply
    324,785x = 708,592 × 708,592
  4. Step 4: Simplify right side
    324,785x = 502,102,622,464
  5. Step 5: Solve for x
    x = 502,102,622,464/324,785
  6. Step 6: Final answer
    x = 1,545,953.85

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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.