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Finding the Third Proportional to 277,714 and 610,040

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Solution

The third proportional to 277,714 and 610,040 is: 1,340,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714 : 610,040 = 610,040 : x
  2. Step 2: Convert to fraction form
    277,714/610,040 = 610,040/x
  3. Step 3: Cross multiply
    277,714x = 610,040 × 610,040
  4. Step 4: Simplify right side
    277,714x = 372,148,801,600
  5. Step 5: Solve for x
    x = 372,148,801,600/277,714
  6. Step 6: Final answer
    x = 1,340,043.36

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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.