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Finding the Third Proportional to 425,704 and 568,050

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Solution

The third proportional to 425,704 and 568,050 is: 757,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,704 : 568,050 = 568,050 : x
  2. Step 2: Convert to fraction form
    425,704/568,050 = 568,050/x
  3. Step 3: Cross multiply
    425,704x = 568,050 × 568,050
  4. Step 4: Simplify right side
    425,704x = 322,680,802,500
  5. Step 5: Solve for x
    x = 322,680,802,500/425,704
  6. Step 6: Final answer
    x = 757,993.35

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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.