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Finding the Third Proportional to 230,674.50 and 495,837

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Solution

The third proportional to 230,674.50 and 495,837 is: 1,065,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,674.50 : 495,837 = 495,837 : x
  2. Step 2: Convert to fraction form
    230,674.50/495,837 = 495,837/x
  3. Step 3: Cross multiply
    230,674.50x = 495,837 × 495,837
  4. Step 4: Simplify right side
    230,674.50x = 245,854,330,569
  5. Step 5: Solve for x
    x = 245,854,330,569/230,674.50
  6. Step 6: Final answer
    x = 1,065,806.28

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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.