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Finding the Third Proportional to 277,109 and 446,264

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Solution

The third proportional to 277,109 and 446,264 is: 718,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,109 : 446,264 = 446,264 : x
  2. Step 2: Convert to fraction form
    277,109/446,264 = 446,264/x
  3. Step 3: Cross multiply
    277,109x = 446,264 × 446,264
  4. Step 4: Simplify right side
    277,109x = 199,151,557,696
  5. Step 5: Solve for x
    x = 199,151,557,696/277,109
  6. Step 6: Final answer
    x = 718,675.89

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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.