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Finding the Third Proportional to 206,799.75 and 455,503.50

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Solution

The third proportional to 206,799.75 and 455,503.50 is: 1,003,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,799.75 : 455,503.50 = 455,503.50 : x
  2. Step 2: Convert to fraction form
    206,799.75/455,503.50 = 455,503.50/x
  3. Step 3: Cross multiply
    206,799.75x = 455,503.50 × 455,503.50
  4. Step 4: Simplify right side
    206,799.75x = 207,483,438,512.25
  5. Step 5: Solve for x
    x = 207,483,438,512.25/206,799.75
  6. Step 6: Final answer
    x = 1,003,306.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.