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Finding the Third Proportional to 277,562 and 416,334

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Solution

The third proportional to 277,562 and 416,334 is: 624,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,562 : 416,334 = 416,334 : x
  2. Step 2: Convert to fraction form
    277,562/416,334 = 416,334/x
  3. Step 3: Cross multiply
    277,562x = 416,334 × 416,334
  4. Step 4: Simplify right side
    277,562x = 173,333,999,556
  5. Step 5: Solve for x
    x = 173,333,999,556/277,562
  6. Step 6: Final answer
    x = 624,487.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.