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Finding the Third Proportional to 541,848 and 858,694.50

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Solution

The third proportional to 541,848 and 858,694.50 is: 1,360,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,848 : 858,694.50 = 858,694.50 : x
  2. Step 2: Convert to fraction form
    541,848/858,694.50 = 858,694.50/x
  3. Step 3: Cross multiply
    541,848x = 858,694.50 × 858,694.50
  4. Step 4: Simplify right side
    541,848x = 737,356,244,330.25
  5. Step 5: Solve for x
    x = 737,356,244,330.25/541,848
  6. Step 6: Final answer
    x = 1,360,817.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.