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Finding the Third Proportional to 605,980 and 897,306

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Solution

The third proportional to 605,980 and 897,306 is: 1,328,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,980 : 897,306 = 897,306 : x
  2. Step 2: Convert to fraction form
    605,980/897,306 = 897,306/x
  3. Step 3: Cross multiply
    605,980x = 897,306 × 897,306
  4. Step 4: Simplify right side
    605,980x = 805,158,057,636
  5. Step 5: Solve for x
    x = 805,158,057,636/605,980
  6. Step 6: Final answer
    x = 1,328,687.51

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Why These Related Problems?

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