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Finding the Third Proportional to 544,348 and 774,186

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Solution

The third proportional to 544,348 and 774,186 is: 1,101,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,348 : 774,186 = 774,186 : x
  2. Step 2: Convert to fraction form
    544,348/774,186 = 774,186/x
  3. Step 3: Cross multiply
    544,348x = 774,186 × 774,186
  4. Step 4: Simplify right side
    544,348x = 599,363,962,596
  5. Step 5: Solve for x
    x = 599,363,962,596/544,348
  6. Step 6: Final answer
    x = 1,101,067.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.