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Finding the Third Proportional to 277,502 and 609,556

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Solution

The third proportional to 277,502 and 609,556 is: 1,338,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502 : 609,556 = 609,556 : x
  2. Step 2: Convert to fraction form
    277,502/609,556 = 609,556/x
  3. Step 3: Cross multiply
    277,502x = 609,556 × 609,556
  4. Step 4: Simplify right side
    277,502x = 371,558,517,136
  5. Step 5: Solve for x
    x = 371,558,517,136/277,502
  6. Step 6: Final answer
    x = 1,338,939.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.