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Finding the Third Proportional to 383,553 and 834,030

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Solution

The third proportional to 383,553 and 834,030 is: 1,813,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,553 : 834,030 = 834,030 : x
  2. Step 2: Convert to fraction form
    383,553/834,030 = 834,030/x
  3. Step 3: Cross multiply
    383,553x = 834,030 × 834,030
  4. Step 4: Simplify right side
    383,553x = 695,606,040,900
  5. Step 5: Solve for x
    x = 695,606,040,900/383,553
  6. Step 6: Final answer
    x = 1,813,585.19

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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.