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Finding the Third Proportional to 341,150 and 539,806

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Solution

The third proportional to 341,150 and 539,806 is: 854,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,150 : 539,806 = 539,806 : x
  2. Step 2: Convert to fraction form
    341,150/539,806 = 539,806/x
  3. Step 3: Cross multiply
    341,150x = 539,806 × 539,806
  4. Step 4: Simplify right side
    341,150x = 291,390,517,636
  5. Step 5: Solve for x
    x = 291,390,517,636/341,150
  6. Step 6: Final answer
    x = 854,141.92

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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.