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Finding the Third Proportional to 376,704 and 568,896

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Solution

The third proportional to 376,704 and 568,896 is: 859,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,704 : 568,896 = 568,896 : x
  2. Step 2: Convert to fraction form
    376,704/568,896 = 568,896/x
  3. Step 3: Cross multiply
    376,704x = 568,896 × 568,896
  4. Step 4: Simplify right side
    376,704x = 323,642,658,816
  5. Step 5: Solve for x
    x = 323,642,658,816/376,704
  6. Step 6: Final answer
    x = 859,143.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.