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Finding the Third Proportional to 277,107 and 446,261

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Solution

The third proportional to 277,107 and 446,261 is: 718,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,107 : 446,261 = 446,261 : x
  2. Step 2: Convert to fraction form
    277,107/446,261 = 446,261/x
  3. Step 3: Cross multiply
    277,107x = 446,261 × 446,261
  4. Step 4: Simplify right side
    277,107x = 199,148,880,121
  5. Step 5: Solve for x
    x = 199,148,880,121/277,107
  6. Step 6: Final answer
    x = 718,671.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.