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Finding the Third Proportional to 324,544.88 and 842,502.94

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Solution

The third proportional to 324,544.88 and 842,502.94 is: 2,187,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,544.88 : 842,502.94 = 842,502.94 : x
  2. Step 2: Convert to fraction form
    324,544.88/842,502.94 = 842,502.94/x
  3. Step 3: Cross multiply
    324,544.88x = 842,502.94 × 842,502.94
  4. Step 4: Simplify right side
    324,544.88x = 709,811,199,696.13
  5. Step 5: Solve for x
    x = 709,811,199,696.13/324,544.88
  6. Step 6: Final answer
    x = 2,187,097.24

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.