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Finding the Third Proportional to 444,503.95 and 960,085.41

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Solution

The third proportional to 444,503.95 and 960,085.41 is: 2,073,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,503.95 : 960,085.41 = 960,085.41 : x
  2. Step 2: Convert to fraction form
    444,503.95/960,085.41 = 960,085.41/x
  3. Step 3: Cross multiply
    444,503.95x = 960,085.41 × 960,085.41
  4. Step 4: Simplify right side
    444,503.95x = 921,763,987,294.23
  5. Step 5: Solve for x
    x = 921,763,987,294.23/444,503.95
  6. Step 6: Final answer
    x = 2,073,691.32

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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.