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Finding the Third Proportional to 641,773.44 and 960,661.11

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Solution

The third proportional to 641,773.44 and 960,661.11 is: 1,437,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,773.44 : 960,661.11 = 960,661.11 : x
  2. Step 2: Convert to fraction form
    641,773.44/960,661.11 = 960,661.11/x
  3. Step 3: Cross multiply
    641,773.44x = 960,661.11 × 960,661.11
  4. Step 4: Simplify right side
    641,773.44x = 922,869,763,312.99
  5. Step 5: Solve for x
    x = 922,869,763,312.99/641,773.44
  6. Step 6: Final answer
    x = 1,437,999.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.