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Finding the Third Proportional to 259,440 and 568,086

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Solution

The third proportional to 259,440 and 568,086 is: 1,243,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,440 : 568,086 = 568,086 : x
  2. Step 2: Convert to fraction form
    259,440/568,086 = 568,086/x
  3. Step 3: Cross multiply
    259,440x = 568,086 × 568,086
  4. Step 4: Simplify right side
    259,440x = 322,721,703,396
  5. Step 5: Solve for x
    x = 322,721,703,396/259,440
  6. Step 6: Final answer
    x = 1,243,916.53

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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.