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Finding the Third Proportional to 230,702.75 and 494,209.75

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Solution

The third proportional to 230,702.75 and 494,209.75 is: 1,058,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,702.75 : 494,209.75 = 494,209.75 : x
  2. Step 2: Convert to fraction form
    230,702.75/494,209.75 = 494,209.75/x
  3. Step 3: Cross multiply
    230,702.75x = 494,209.75 × 494,209.75
  4. Step 4: Simplify right side
    230,702.75x = 244,243,276,995.06
  5. Step 5: Solve for x
    x = 244,243,276,995.06/230,702.75
  6. Step 6: Final answer
    x = 1,058,692.53

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