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Finding the Third Proportional to 276,926 and 600,508

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Solution

The third proportional to 276,926 and 600,508 is: 1,302,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,926 : 600,508 = 600,508 : x
  2. Step 2: Convert to fraction form
    276,926/600,508 = 600,508/x
  3. Step 3: Cross multiply
    276,926x = 600,508 × 600,508
  4. Step 4: Simplify right side
    276,926x = 360,609,858,064
  5. Step 5: Solve for x
    x = 360,609,858,064/276,926
  6. Step 6: Final answer
    x = 1,302,188.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.