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Finding the Third Proportional to 254,630.25 and 530,175.38

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Solution

The third proportional to 254,630.25 and 530,175.38 is: 1,103,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,630.25 : 530,175.38 = 530,175.38 : x
  2. Step 2: Convert to fraction form
    254,630.25/530,175.38 = 530,175.38/x
  3. Step 3: Cross multiply
    254,630.25x = 530,175.38 × 530,175.38
  4. Step 4: Simplify right side
    254,630.25x = 281,085,928,256.39
  5. Step 5: Solve for x
    x = 281,085,928,256.39/254,630.25
  6. Step 6: Final answer
    x = 1,103,898.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.