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Finding the Third Proportional to 277,056 and 421,416

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Solution

The third proportional to 277,056 and 421,416 is: 640,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,056 : 421,416 = 421,416 : x
  2. Step 2: Convert to fraction form
    277,056/421,416 = 421,416/x
  3. Step 3: Cross multiply
    277,056x = 421,416 × 421,416
  4. Step 4: Simplify right side
    277,056x = 177,591,445,056
  5. Step 5: Solve for x
    x = 177,591,445,056/277,056
  6. Step 6: Final answer
    x = 640,994.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.