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Finding the Third Proportional to 326,180.25 and 661,581

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Solution

The third proportional to 326,180.25 and 661,581 is: 1,341,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,180.25 : 661,581 = 661,581 : x
  2. Step 2: Convert to fraction form
    326,180.25/661,581 = 661,581/x
  3. Step 3: Cross multiply
    326,180.25x = 661,581 × 661,581
  4. Step 4: Simplify right side
    326,180.25x = 437,689,419,561
  5. Step 5: Solve for x
    x = 437,689,419,561/326,180.25
  6. Step 6: Final answer
    x = 1,341,863.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.