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Finding the Third Proportional to 297,675 and 449,246.25

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Solution

The third proportional to 297,675 and 449,246.25 is: 677,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,675 : 449,246.25 = 449,246.25 : x
  2. Step 2: Convert to fraction form
    297,675/449,246.25 = 449,246.25/x
  3. Step 3: Cross multiply
    297,675x = 449,246.25 × 449,246.25
  4. Step 4: Simplify right side
    297,675x = 201,822,193,139.06
  5. Step 5: Solve for x
    x = 201,822,193,139.06/297,675
  6. Step 6: Final answer
    x = 677,995.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.