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Finding the Third Proportional to 544,416 and 774,276

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Solution

The third proportional to 544,416 and 774,276 is: 1,101,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,416 : 774,276 = 774,276 : x
  2. Step 2: Convert to fraction form
    544,416/774,276 = 774,276/x
  3. Step 3: Cross multiply
    544,416x = 774,276 × 774,276
  4. Step 4: Simplify right side
    544,416x = 599,503,324,176
  5. Step 5: Solve for x
    x = 599,503,324,176/544,416
  6. Step 6: Final answer
    x = 1,101,186.09

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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.