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Finding the Third Proportional to 230,700.38 and 494,205.75

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Solution

The third proportional to 230,700.38 and 494,205.75 is: 1,058,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,700.38 : 494,205.75 = 494,205.75 : x
  2. Step 2: Convert to fraction form
    230,700.38/494,205.75 = 494,205.75/x
  3. Step 3: Cross multiply
    230,700.38x = 494,205.75 × 494,205.75
  4. Step 4: Simplify right side
    230,700.38x = 244,239,323,333.06
  5. Step 5: Solve for x
    x = 244,239,323,333.06/230,700.38
  6. Step 6: Final answer
    x = 1,058,686.29

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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.