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Finding the Third Proportional to 376,000 and 567,888

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Solution

The third proportional to 376,000 and 567,888 is: 857,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,000 : 567,888 = 567,888 : x
  2. Step 2: Convert to fraction form
    376,000/567,888 = 567,888/x
  3. Step 3: Cross multiply
    376,000x = 567,888 × 567,888
  4. Step 4: Simplify right side
    376,000x = 322,496,780,544
  5. Step 5: Solve for x
    x = 322,496,780,544/376,000
  6. Step 6: Final answer
    x = 857,704.20

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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.