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Finding the Third Proportional to 207,873.56 and 449,011.13

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Solution

The third proportional to 207,873.56 and 449,011.13 is: 969,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,873.56 : 449,011.13 = 449,011.13 : x
  2. Step 2: Convert to fraction form
    207,873.56/449,011.13 = 449,011.13/x
  3. Step 3: Cross multiply
    207,873.56x = 449,011.13 × 449,011.13
  4. Step 4: Simplify right side
    207,873.56x = 201,610,990,373.77
  5. Step 5: Solve for x
    x = 201,610,990,373.77/207,873.56
  6. Step 6: Final answer
    x = 969,873.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.