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Finding the Third Proportional to 229,400 and 539,796

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Solution

The third proportional to 229,400 and 539,796 is: 1,270,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,400 : 539,796 = 539,796 : x
  2. Step 2: Convert to fraction form
    229,400/539,796 = 539,796/x
  3. Step 3: Cross multiply
    229,400x = 539,796 × 539,796
  4. Step 4: Simplify right side
    229,400x = 291,379,721,616
  5. Step 5: Solve for x
    x = 291,379,721,616/229,400
  6. Step 6: Final answer
    x = 1,270,181.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.