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Finding the Third Proportional to 229,478 and 350,790

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Solution

The third proportional to 229,478 and 350,790 is: 536,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,478 : 350,790 = 350,790 : x
  2. Step 2: Convert to fraction form
    229,478/350,790 = 350,790/x
  3. Step 3: Cross multiply
    229,478x = 350,790 × 350,790
  4. Step 4: Simplify right side
    229,478x = 123,053,624,100
  5. Step 5: Solve for x
    x = 123,053,624,100/229,478
  6. Step 6: Final answer
    x = 536,232.77

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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.