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Finding the Third Proportional to 277,674 and 595,524

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Solution

The third proportional to 277,674 and 595,524 is: 1,277,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,674 : 595,524 = 595,524 : x
  2. Step 2: Convert to fraction form
    277,674/595,524 = 595,524/x
  3. Step 3: Cross multiply
    277,674x = 595,524 × 595,524
  4. Step 4: Simplify right side
    277,674x = 354,648,834,576
  5. Step 5: Solve for x
    x = 354,648,834,576/277,674
  6. Step 6: Final answer
    x = 1,277,212.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.