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Finding the Third Proportional to 621,810 and 960,204

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Solution

The third proportional to 621,810 and 960,204 is: 1,482,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,810 : 960,204 = 960,204 : x
  2. Step 2: Convert to fraction form
    621,810/960,204 = 960,204/x
  3. Step 3: Cross multiply
    621,810x = 960,204 × 960,204
  4. Step 4: Simplify right side
    621,810x = 921,991,721,616
  5. Step 5: Solve for x
    x = 921,991,721,616/621,810
  6. Step 6: Final answer
    x = 1,482,754.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.