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Finding the Third Proportional to 541,800 and 838,458

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Solution

The third proportional to 541,800 and 838,458 is: 1,297,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,800 : 838,458 = 838,458 : x
  2. Step 2: Convert to fraction form
    541,800/838,458 = 838,458/x
  3. Step 3: Cross multiply
    541,800x = 838,458 × 838,458
  4. Step 4: Simplify right side
    541,800x = 703,011,817,764
  5. Step 5: Solve for x
    x = 703,011,817,764/541,800
  6. Step 6: Final answer
    x = 1,297,548.57

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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.