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Finding the Third Proportional to 383,061 and 832,462

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Solution

The third proportional to 383,061 and 832,462 is: 1,809,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,061 : 832,462 = 832,462 : x
  2. Step 2: Convert to fraction form
    383,061/832,462 = 832,462/x
  3. Step 3: Cross multiply
    383,061x = 832,462 × 832,462
  4. Step 4: Simplify right side
    383,061x = 692,992,981,444
  5. Step 5: Solve for x
    x = 692,992,981,444/383,061
  6. Step 6: Final answer
    x = 1,809,093.02

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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.