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Finding the Third Proportional to 229,482 and 350,796

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Solution

The third proportional to 229,482 and 350,796 is: 536,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482 : 350,796 = 350,796 : x
  2. Step 2: Convert to fraction form
    229,482/350,796 = 350,796/x
  3. Step 3: Cross multiply
    229,482x = 350,796 × 350,796
  4. Step 4: Simplify right side
    229,482x = 123,057,833,616
  5. Step 5: Solve for x
    x = 123,057,833,616/229,482
  6. Step 6: Final answer
    x = 536,241.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.