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Finding the Third Proportional to 207,824.06 and 446,728.50

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Solution

The third proportional to 207,824.06 and 446,728.50 is: 960,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824.06 : 446,728.50 = 446,728.50 : x
  2. Step 2: Convert to fraction form
    207,824.06/446,728.50 = 446,728.50/x
  3. Step 3: Cross multiply
    207,824.06x = 446,728.50 × 446,728.50
  4. Step 4: Simplify right side
    207,824.06x = 199,566,352,712.25
  5. Step 5: Solve for x
    x = 199,566,352,712.25/207,824.06
  6. Step 6: Final answer
    x = 960,265.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.