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Finding the Third Proportional to 368,970 and 806,922

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Solution

The third proportional to 368,970 and 806,922 is: 1,764,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,970 : 806,922 = 806,922 : x
  2. Step 2: Convert to fraction form
    368,970/806,922 = 806,922/x
  3. Step 3: Cross multiply
    368,970x = 806,922 × 806,922
  4. Step 4: Simplify right side
    368,970x = 651,123,114,084
  5. Step 5: Solve for x
    x = 651,123,114,084/368,970
  6. Step 6: Final answer
    x = 1,764,704.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.