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Finding the Third Proportional to 276,926 and 605,106

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Solution

The third proportional to 276,926 and 605,106 is: 1,322,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,926 : 605,106 = 605,106 : x
  2. Step 2: Convert to fraction form
    276,926/605,106 = 605,106/x
  3. Step 3: Cross multiply
    276,926x = 605,106 × 605,106
  4. Step 4: Simplify right side
    276,926x = 366,153,271,236
  5. Step 5: Solve for x
    x = 366,153,271,236/276,926
  6. Step 6: Final answer
    x = 1,322,206.19

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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.