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Finding the Third Proportional to 605,890.13 and 897,135.75

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Solution

The third proportional to 605,890.13 and 897,135.75 is: 1,328,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,890.13 : 897,135.75 = 897,135.75 : x
  2. Step 2: Convert to fraction form
    605,890.13/897,135.75 = 897,135.75/x
  3. Step 3: Cross multiply
    605,890.13x = 897,135.75 × 897,135.75
  4. Step 4: Simplify right side
    605,890.13x = 804,852,553,928.06
  5. Step 5: Solve for x
    x = 804,852,553,928.06/605,890.13
  6. Step 6: Final answer
    x = 1,328,380.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.