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Finding the Third Proportional to 259,452 and 568,089

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Solution

The third proportional to 259,452 and 568,089 is: 1,243,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,452 : 568,089 = 568,089 : x
  2. Step 2: Convert to fraction form
    259,452/568,089 = 568,089/x
  3. Step 3: Cross multiply
    259,452x = 568,089 × 568,089
  4. Step 4: Simplify right side
    259,452x = 322,725,111,921
  5. Step 5: Solve for x
    x = 322,725,111,921/259,452
  6. Step 6: Final answer
    x = 1,243,872.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.