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Finding the Third Proportional to 207,258.75 and 449,509.50

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Solution

The third proportional to 207,258.75 and 449,509.50 is: 974,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,258.75 : 449,509.50 = 449,509.50 : x
  2. Step 2: Convert to fraction form
    207,258.75/449,509.50 = 449,509.50/x
  3. Step 3: Cross multiply
    207,258.75x = 449,509.50 × 449,509.50
  4. Step 4: Simplify right side
    207,258.75x = 202,058,790,590.25
  5. Step 5: Solve for x
    x = 202,058,790,590.25/207,258.75
  6. Step 6: Final answer
    x = 974,910.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.