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Finding the Third Proportional to 277,037 and 429,812

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Solution

The third proportional to 277,037 and 429,812 is: 666,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,037 : 429,812 = 429,812 : x
  2. Step 2: Convert to fraction form
    277,037/429,812 = 429,812/x
  3. Step 3: Cross multiply
    277,037x = 429,812 × 429,812
  4. Step 4: Simplify right side
    277,037x = 184,738,355,344
  5. Step 5: Solve for x
    x = 184,738,355,344/277,037
  6. Step 6: Final answer
    x = 666,836.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.