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Finding the Third Proportional to 321,124.50 and 661,689

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Solution

The third proportional to 321,124.50 and 661,689 is: 1,363,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,124.50 : 661,689 = 661,689 : x
  2. Step 2: Convert to fraction form
    321,124.50/661,689 = 661,689/x
  3. Step 3: Cross multiply
    321,124.50x = 661,689 × 661,689
  4. Step 4: Simplify right side
    321,124.50x = 437,832,332,721
  5. Step 5: Solve for x
    x = 437,832,332,721/321,124.50
  6. Step 6: Final answer
    x = 1,363,434.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.