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Finding the Third Proportional to 209,857.13 and 449,657.25

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Solution

The third proportional to 209,857.13 and 449,657.25 is: 963,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.13 : 449,657.25 = 449,657.25 : x
  2. Step 2: Convert to fraction form
    209,857.13/449,657.25 = 449,657.25/x
  3. Step 3: Cross multiply
    209,857.13x = 449,657.25 × 449,657.25
  4. Step 4: Simplify right side
    209,857.13x = 202,191,642,477.56
  5. Step 5: Solve for x
    x = 202,191,642,477.56/209,857.13
  6. Step 6: Final answer
    x = 963,472.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.