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Finding the Third Proportional to 207,904 and 449,045

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Solution

The third proportional to 207,904 and 449,045 is: 969,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904 : 449,045 = 449,045 : x
  2. Step 2: Convert to fraction form
    207,904/449,045 = 449,045/x
  3. Step 3: Cross multiply
    207,904x = 449,045 × 449,045
  4. Step 4: Simplify right side
    207,904x = 201,641,412,025
  5. Step 5: Solve for x
    x = 201,641,412,025/207,904
  6. Step 6: Final answer
    x = 969,877.50

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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.