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Finding the Third Proportional to 241,196 and 530,512

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Solution

The third proportional to 241,196 and 530,512 is: 1,166,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,196 : 530,512 = 530,512 : x
  2. Step 2: Convert to fraction form
    241,196/530,512 = 530,512/x
  3. Step 3: Cross multiply
    241,196x = 530,512 × 530,512
  4. Step 4: Simplify right side
    241,196x = 281,442,982,144
  5. Step 5: Solve for x
    x = 281,442,982,144/241,196
  6. Step 6: Final answer
    x = 1,166,864.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.