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Finding the Third Proportional to 276,884 and 606,184

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Solution

The third proportional to 276,884 and 606,184 is: 1,327,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,884 : 606,184 = 606,184 : x
  2. Step 2: Convert to fraction form
    276,884/606,184 = 606,184/x
  3. Step 3: Cross multiply
    276,884x = 606,184 × 606,184
  4. Step 4: Simplify right side
    276,884x = 367,459,041,856
  5. Step 5: Solve for x
    x = 367,459,041,856/276,884
  6. Step 6: Final answer
    x = 1,327,122.70

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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.