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Finding the Third Proportional to 383,555 and 834,034

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Solution

The third proportional to 383,555 and 834,034 is: 1,813,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,555 : 834,034 = 834,034 : x
  2. Step 2: Convert to fraction form
    383,555/834,034 = 834,034/x
  3. Step 3: Cross multiply
    383,555x = 834,034 × 834,034
  4. Step 4: Simplify right side
    383,555x = 695,612,713,156
  5. Step 5: Solve for x
    x = 695,612,713,156/383,555
  6. Step 6: Final answer
    x = 1,813,593.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.