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Finding the Third Proportional to 322,672 and 495,150

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Solution

The third proportional to 322,672 and 495,150 is: 759,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,672 : 495,150 = 495,150 : x
  2. Step 2: Convert to fraction form
    322,672/495,150 = 495,150/x
  3. Step 3: Cross multiply
    322,672x = 495,150 × 495,150
  4. Step 4: Simplify right side
    322,672x = 245,173,522,500
  5. Step 5: Solve for x
    x = 245,173,522,500/322,672
  6. Step 6: Final answer
    x = 759,822.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.