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Finding the Third Proportional to 541,621.13 and 838,199.25

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Solution

The third proportional to 541,621.13 and 838,199.25 is: 1,297,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,621.13 : 838,199.25 = 838,199.25 : x
  2. Step 2: Convert to fraction form
    541,621.13/838,199.25 = 838,199.25/x
  3. Step 3: Cross multiply
    541,621.13x = 838,199.25 × 838,199.25
  4. Step 4: Simplify right side
    541,621.13x = 702,577,982,700.56
  5. Step 5: Solve for x
    x = 702,577,982,700.56/541,621.13
  6. Step 6: Final answer
    x = 1,297,176.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.