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Finding the Third Proportional to 281,936 and 607,884

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Solution

The third proportional to 281,936 and 607,884 is: 1,310,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,936 : 607,884 = 607,884 : x
  2. Step 2: Convert to fraction form
    281,936/607,884 = 607,884/x
  3. Step 3: Cross multiply
    281,936x = 607,884 × 607,884
  4. Step 4: Simplify right side
    281,936x = 369,522,957,456
  5. Step 5: Solve for x
    x = 369,522,957,456/281,936
  6. Step 6: Final answer
    x = 1,310,662.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.