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Finding the Third Proportional to 544,294 and 858,181

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Solution

The third proportional to 544,294 and 858,181 is: 1,353,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,294 : 858,181 = 858,181 : x
  2. Step 2: Convert to fraction form
    544,294/858,181 = 858,181/x
  3. Step 3: Cross multiply
    544,294x = 858,181 × 858,181
  4. Step 4: Simplify right side
    544,294x = 736,474,628,761
  5. Step 5: Solve for x
    x = 736,474,628,761/544,294
  6. Step 6: Final answer
    x = 1,353,082.39

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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.