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Finding the Third Proportional to 383,438 and 806,539

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Solution

The third proportional to 383,438 and 806,539 is: 1,696,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,438 : 806,539 = 806,539 : x
  2. Step 2: Convert to fraction form
    383,438/806,539 = 806,539/x
  3. Step 3: Cross multiply
    383,438x = 806,539 × 806,539
  4. Step 4: Simplify right side
    383,438x = 650,505,158,521
  5. Step 5: Solve for x
    x = 650,505,158,521/383,438
  6. Step 6: Final answer
    x = 1,696,506.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.