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Finding the Third Proportional to 277,348 and 417,982

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Solution

The third proportional to 277,348 and 417,982 is: 629,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,348 : 417,982 = 417,982 : x
  2. Step 2: Convert to fraction form
    277,348/417,982 = 417,982/x
  3. Step 3: Cross multiply
    277,348x = 417,982 × 417,982
  4. Step 4: Simplify right side
    277,348x = 174,708,952,324
  5. Step 5: Solve for x
    x = 174,708,952,324/277,348
  6. Step 6: Final answer
    x = 629,926.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.