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Finding the Third Proportional to 277,524 and 606,948

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Solution

The third proportional to 277,524 and 606,948 is: 1,327,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524 : 606,948 = 606,948 : x
  2. Step 2: Convert to fraction form
    277,524/606,948 = 606,948/x
  3. Step 3: Cross multiply
    277,524x = 606,948 × 606,948
  4. Step 4: Simplify right side
    277,524x = 368,385,874,704
  5. Step 5: Solve for x
    x = 368,385,874,704/277,524
  6. Step 6: Final answer
    x = 1,327,401.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.