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Finding the Third Proportional to 259,454 and 568,093

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Solution

The third proportional to 259,454 and 568,093 is: 1,243,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,454 : 568,093 = 568,093 : x
  2. Step 2: Convert to fraction form
    259,454/568,093 = 568,093/x
  3. Step 3: Cross multiply
    259,454x = 568,093 × 568,093
  4. Step 4: Simplify right side
    259,454x = 322,729,656,649
  5. Step 5: Solve for x
    x = 322,729,656,649/259,454
  6. Step 6: Final answer
    x = 1,243,880.06

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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.