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Finding the Third Proportional to 276,336 and 605,284

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Solution

The third proportional to 276,336 and 605,284 is: 1,325,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,336 : 605,284 = 605,284 : x
  2. Step 2: Convert to fraction form
    276,336/605,284 = 605,284/x
  3. Step 3: Cross multiply
    276,336x = 605,284 × 605,284
  4. Step 4: Simplify right side
    276,336x = 366,368,720,656
  5. Step 5: Solve for x
    x = 366,368,720,656/276,336
  6. Step 6: Final answer
    x = 1,325,808.87

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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.