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Finding the Third Proportional to 341,146 and 539,800

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Solution

The third proportional to 341,146 and 539,800 is: 854,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,146 : 539,800 = 539,800 : x
  2. Step 2: Convert to fraction form
    341,146/539,800 = 539,800/x
  3. Step 3: Cross multiply
    341,146x = 539,800 × 539,800
  4. Step 4: Simplify right side
    341,146x = 291,384,040,000
  5. Step 5: Solve for x
    x = 291,384,040,000/341,146
  6. Step 6: Final answer
    x = 854,132.95

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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.