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Finding the Third Proportional to 449,871.75 and 950,317.50

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Solution

The third proportional to 449,871.75 and 950,317.50 is: 2,007,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,871.75 : 950,317.50 = 950,317.50 : x
  2. Step 2: Convert to fraction form
    449,871.75/950,317.50 = 950,317.50/x
  3. Step 3: Cross multiply
    449,871.75x = 950,317.50 × 950,317.50
  4. Step 4: Simplify right side
    449,871.75x = 903,103,350,806.25
  5. Step 5: Solve for x
    x = 903,103,350,806.25/449,871.75
  6. Step 6: Final answer
    x = 2,007,468.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.