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Finding the Third Proportional to 277,729 and 605,633

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Solution

The third proportional to 277,729 and 605,633 is: 1,320,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,729 : 605,633 = 605,633 : x
  2. Step 2: Convert to fraction form
    277,729/605,633 = 605,633/x
  3. Step 3: Cross multiply
    277,729x = 605,633 × 605,633
  4. Step 4: Simplify right side
    277,729x = 366,791,330,689
  5. Step 5: Solve for x
    x = 366,791,330,689/277,729
  6. Step 6: Final answer
    x = 1,320,680.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.