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Finding the Third Proportional to 230,702 and 494,210

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Solution

The third proportional to 230,702 and 494,210 is: 1,058,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,702 : 494,210 = 494,210 : x
  2. Step 2: Convert to fraction form
    230,702/494,210 = 494,210/x
  3. Step 3: Cross multiply
    230,702x = 494,210 × 494,210
  4. Step 4: Simplify right side
    230,702x = 244,243,524,100
  5. Step 5: Solve for x
    x = 244,243,524,100/230,702
  6. Step 6: Final answer
    x = 1,058,697.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.