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Finding the Third Proportional to 237,220 and 521,096

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Solution

The third proportional to 237,220 and 521,096 is: 1,144,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,220 : 521,096 = 521,096 : x
  2. Step 2: Convert to fraction form
    237,220/521,096 = 521,096/x
  3. Step 3: Cross multiply
    237,220x = 521,096 × 521,096
  4. Step 4: Simplify right side
    237,220x = 271,541,041,216
  5. Step 5: Solve for x
    x = 271,541,041,216/237,220
  6. Step 6: Final answer
    x = 1,144,680.22

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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.