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Finding the Third Proportional to 341,144 and 539,796

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Solution

The third proportional to 341,144 and 539,796 is: 854,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,144 : 539,796 = 539,796 : x
  2. Step 2: Convert to fraction form
    341,144/539,796 = 539,796/x
  3. Step 3: Cross multiply
    341,144x = 539,796 × 539,796
  4. Step 4: Simplify right side
    341,144x = 291,379,721,616
  5. Step 5: Solve for x
    x = 291,379,721,616/341,144
  6. Step 6: Final answer
    x = 854,125.30

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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.