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Finding the Third Proportional to 376,972 and 764,879

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Solution

The third proportional to 376,972 and 764,879 is: 1,551,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,972 : 764,879 = 764,879 : x
  2. Step 2: Convert to fraction form
    376,972/764,879 = 764,879/x
  3. Step 3: Cross multiply
    376,972x = 764,879 × 764,879
  4. Step 4: Simplify right side
    376,972x = 585,039,884,641
  5. Step 5: Solve for x
    x = 585,039,884,641/376,972
  6. Step 6: Final answer
    x = 1,551,945.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.