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Finding the Third Proportional to 409,675.50 and 852,051

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Solution

The third proportional to 409,675.50 and 852,051 is: 1,772,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,675.50 : 852,051 = 852,051 : x
  2. Step 2: Convert to fraction form
    409,675.50/852,051 = 852,051/x
  3. Step 3: Cross multiply
    409,675.50x = 852,051 × 852,051
  4. Step 4: Simplify right side
    409,675.50x = 725,990,906,601
  5. Step 5: Solve for x
    x = 725,990,906,601/409,675.50
  6. Step 6: Final answer
    x = 1,772,112.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.