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Finding the Third Proportional to 425,708 and 568,056

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Solution

The third proportional to 425,708 and 568,056 is: 758,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,708 : 568,056 = 568,056 : x
  2. Step 2: Convert to fraction form
    425,708/568,056 = 568,056/x
  3. Step 3: Cross multiply
    425,708x = 568,056 × 568,056
  4. Step 4: Simplify right side
    425,708x = 322,687,619,136
  5. Step 5: Solve for x
    x = 322,687,619,136/425,708
  6. Step 6: Final answer
    x = 758,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.