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Finding the Third Proportional to 425,702 and 568,047

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Solution

The third proportional to 425,702 and 568,047 is: 757,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,702 : 568,047 = 568,047 : x
  2. Step 2: Convert to fraction form
    425,702/568,047 = 568,047/x
  3. Step 3: Cross multiply
    425,702x = 568,047 × 568,047
  4. Step 4: Simplify right side
    425,702x = 322,677,394,209
  5. Step 5: Solve for x
    x = 322,677,394,209/425,702
  6. Step 6: Final answer
    x = 757,988.91

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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.