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Finding the Third Proportional to 444,514.50 and 960,103.13

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Solution

The third proportional to 444,514.50 and 960,103.13 is: 2,073,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,514.50 : 960,103.13 = 960,103.13 : x
  2. Step 2: Convert to fraction form
    444,514.50/960,103.13 = 960,103.13/x
  3. Step 3: Cross multiply
    444,514.50x = 960,103.13 × 960,103.13
  4. Step 4: Simplify right side
    444,514.50x = 921,798,010,634.77
  5. Step 5: Solve for x
    x = 921,798,010,634.77/444,514.50
  6. Step 6: Final answer
    x = 2,073,718.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.