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Finding the Third Proportional to 277,204 and 583,386

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Solution

The third proportional to 277,204 and 583,386 is: 1,227,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,204 : 583,386 = 583,386 : x
  2. Step 2: Convert to fraction form
    277,204/583,386 = 583,386/x
  3. Step 3: Cross multiply
    277,204x = 583,386 × 583,386
  4. Step 4: Simplify right side
    277,204x = 340,339,224,996
  5. Step 5: Solve for x
    x = 340,339,224,996/277,204
  6. Step 6: Final answer
    x = 1,227,757.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.