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Finding the Third Proportional to 206,810.50 and 455,522

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Solution

The third proportional to 206,810.50 and 455,522 is: 1,003,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.50 : 455,522 = 455,522 : x
  2. Step 2: Convert to fraction form
    206,810.50/455,522 = 455,522/x
  3. Step 3: Cross multiply
    206,810.50x = 455,522 × 455,522
  4. Step 4: Simplify right side
    206,810.50x = 207,500,292,484
  5. Step 5: Solve for x
    x = 207,500,292,484/206,810.50
  6. Step 6: Final answer
    x = 1,003,335.38

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