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Finding the Third Proportional to 225,956 and 497,056

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Solution

The third proportional to 225,956 and 497,056 is: 1,093,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,956 : 497,056 = 497,056 : x
  2. Step 2: Convert to fraction form
    225,956/497,056 = 497,056/x
  3. Step 3: Cross multiply
    225,956x = 497,056 × 497,056
  4. Step 4: Simplify right side
    225,956x = 247,064,667,136
  5. Step 5: Solve for x
    x = 247,064,667,136/225,956
  6. Step 6: Final answer
    x = 1,093,419.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.