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Finding the Third Proportional to 230,656.50 and 495,801

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Solution

The third proportional to 230,656.50 and 495,801 is: 1,065,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,656.50 : 495,801 = 495,801 : x
  2. Step 2: Convert to fraction form
    230,656.50/495,801 = 495,801/x
  3. Step 3: Cross multiply
    230,656.50x = 495,801 × 495,801
  4. Step 4: Simplify right side
    230,656.50x = 245,818,631,601
  5. Step 5: Solve for x
    x = 245,818,631,601/230,656.50
  6. Step 6: Final answer
    x = 1,065,734.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.