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Finding the Third Proportional to 377,968 and 568,660

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Solution

The third proportional to 377,968 and 568,660 is: 855,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,968 : 568,660 = 568,660 : x
  2. Step 2: Convert to fraction form
    377,968/568,660 = 568,660/x
  3. Step 3: Cross multiply
    377,968x = 568,660 × 568,660
  4. Step 4: Simplify right side
    377,968x = 323,374,195,600
  5. Step 5: Solve for x
    x = 323,374,195,600/377,968
  6. Step 6: Final answer
    x = 855,559.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.