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Finding the Third Proportional to 277,908 and 606,663

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Solution

The third proportional to 277,908 and 606,663 is: 1,324,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,908 : 606,663 = 606,663 : x
  2. Step 2: Convert to fraction form
    277,908/606,663 = 606,663/x
  3. Step 3: Cross multiply
    277,908x = 606,663 × 606,663
  4. Step 4: Simplify right side
    277,908x = 368,039,995,569
  5. Step 5: Solve for x
    x = 368,039,995,569/277,908
  6. Step 6: Final answer
    x = 1,324,323.14

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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.