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Finding the Third Proportional to 376,979 and 568,947

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Solution

The third proportional to 376,979 and 568,947 is: 858,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,979 : 568,947 = 568,947 : x
  2. Step 2: Convert to fraction form
    376,979/568,947 = 568,947/x
  3. Step 3: Cross multiply
    376,979x = 568,947 × 568,947
  4. Step 4: Simplify right side
    376,979x = 323,700,688,809
  5. Step 5: Solve for x
    x = 323,700,688,809/376,979
  6. Step 6: Final answer
    x = 858,670.35

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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.