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Finding the Third Proportional to 605,995 and 897,279

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Solution

The third proportional to 605,995 and 897,279 is: 1,328,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,995 : 897,279 = 897,279 : x
  2. Step 2: Convert to fraction form
    605,995/897,279 = 897,279/x
  3. Step 3: Cross multiply
    605,995x = 897,279 × 897,279
  4. Step 4: Simplify right side
    605,995x = 805,109,603,841
  5. Step 5: Solve for x
    x = 805,109,603,841/605,995
  6. Step 6: Final answer
    x = 1,328,574.66

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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.