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Finding the Third Proportional to 277,562 and 594,478

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Solution

The third proportional to 277,562 and 594,478 is: 1,273,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,562 : 594,478 = 594,478 : x
  2. Step 2: Convert to fraction form
    277,562/594,478 = 594,478/x
  3. Step 3: Cross multiply
    277,562x = 594,478 × 594,478
  4. Step 4: Simplify right side
    277,562x = 353,404,092,484
  5. Step 5: Solve for x
    x = 353,404,092,484/277,562
  6. Step 6: Final answer
    x = 1,273,243.79

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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.