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Finding the Third Proportional to 276,796 and 606,408

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Solution

The third proportional to 276,796 and 606,408 is: 1,328,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,796 : 606,408 = 606,408 : x
  2. Step 2: Convert to fraction form
    276,796/606,408 = 606,408/x
  3. Step 3: Cross multiply
    276,796x = 606,408 × 606,408
  4. Step 4: Simplify right side
    276,796x = 367,730,662,464
  5. Step 5: Solve for x
    x = 367,730,662,464/276,796
  6. Step 6: Final answer
    x = 1,328,525.93

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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.