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Finding the Third Proportional to 277,996 and 610,122

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Solution

The third proportional to 277,996 and 610,122 is: 1,339,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,996 : 610,122 = 610,122 : x
  2. Step 2: Convert to fraction form
    277,996/610,122 = 610,122/x
  3. Step 3: Cross multiply
    277,996x = 610,122 × 610,122
  4. Step 4: Simplify right side
    277,996x = 372,248,854,884
  5. Step 5: Solve for x
    x = 372,248,854,884/277,996
  6. Step 6: Final answer
    x = 1,339,043.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.