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Finding the Third Proportional to 441,618.75 and 970,329.63

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Solution

The third proportional to 441,618.75 and 970,329.63 is: 2,132,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,618.75 : 970,329.63 = 970,329.63 : x
  2. Step 2: Convert to fraction form
    441,618.75/970,329.63 = 970,329.63/x
  3. Step 3: Cross multiply
    441,618.75x = 970,329.63 × 970,329.63
  4. Step 4: Simplify right side
    441,618.75x = 941,539,581,152.64
  5. Step 5: Solve for x
    x = 941,539,581,152.64/441,618.75
  6. Step 6: Final answer
    x = 2,132,019.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.