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Finding the Third Proportional to 230,264 and 542,790

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Solution

The third proportional to 230,264 and 542,790 is: 1,279,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,264 : 542,790 = 542,790 : x
  2. Step 2: Convert to fraction form
    230,264/542,790 = 542,790/x
  3. Step 3: Cross multiply
    230,264x = 542,790 × 542,790
  4. Step 4: Simplify right side
    230,264x = 294,620,984,100
  5. Step 5: Solve for x
    x = 294,620,984,100/230,264
  6. Step 6: Final answer
    x = 1,279,492.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.