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Finding the Third Proportional to 259,096 and 562,452

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Solution

The third proportional to 259,096 and 562,452 is: 1,220,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,096 : 562,452 = 562,452 : x
  2. Step 2: Convert to fraction form
    259,096/562,452 = 562,452/x
  3. Step 3: Cross multiply
    259,096x = 562,452 × 562,452
  4. Step 4: Simplify right side
    259,096x = 316,352,252,304
  5. Step 5: Solve for x
    x = 316,352,252,304/259,096
  6. Step 6: Final answer
    x = 1,220,984.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.