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Finding the Third Proportional to 621,723 and 960,059

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Solution

The third proportional to 621,723 and 960,059 is: 1,482,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,723 : 960,059 = 960,059 : x
  2. Step 2: Convert to fraction form
    621,723/960,059 = 960,059/x
  3. Step 3: Cross multiply
    621,723x = 960,059 × 960,059
  4. Step 4: Simplify right side
    621,723x = 921,713,283,481
  5. Step 5: Solve for x
    x = 921,713,283,481/621,723
  6. Step 6: Final answer
    x = 1,482,514.37

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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.