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Finding the Third Proportional to 277,754 and 596,942

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Solution

The third proportional to 277,754 and 596,942 is: 1,282,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,754 : 596,942 = 596,942 : x
  2. Step 2: Convert to fraction form
    277,754/596,942 = 596,942/x
  3. Step 3: Cross multiply
    277,754x = 596,942 × 596,942
  4. Step 4: Simplify right side
    277,754x = 356,339,751,364
  5. Step 5: Solve for x
    x = 356,339,751,364/277,754
  6. Step 6: Final answer
    x = 1,282,932.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.