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Finding the Third Proportional to 322,660.13 and 512,465.06

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Solution

The third proportional to 322,660.13 and 512,465.06 is: 813,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,660.13 : 512,465.06 = 512,465.06 : x
  2. Step 2: Convert to fraction form
    322,660.13/512,465.06 = 512,465.06/x
  3. Step 3: Cross multiply
    322,660.13x = 512,465.06 × 512,465.06
  4. Step 4: Simplify right side
    322,660.13x = 262,620,440,283.13
  5. Step 5: Solve for x
    x = 262,620,440,283.13/322,660.13
  6. Step 6: Final answer
    x = 813,922.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.