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Finding the Third Proportional to 449,880 and 950,331

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Solution

The third proportional to 449,880 and 950,331 is: 2,007,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,880 : 950,331 = 950,331 : x
  2. Step 2: Convert to fraction form
    449,880/950,331 = 950,331/x
  3. Step 3: Cross multiply
    449,880x = 950,331 × 950,331
  4. Step 4: Simplify right side
    449,880x = 903,129,009,561
  5. Step 5: Solve for x
    x = 903,129,009,561/449,880
  6. Step 6: Final answer
    x = 2,007,488.68

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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.