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Finding the Third Proportional to 259,236 and 556,056

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Solution

The third proportional to 259,236 and 556,056 is: 1,192,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,236 : 556,056 = 556,056 : x
  2. Step 2: Convert to fraction form
    259,236/556,056 = 556,056/x
  3. Step 3: Cross multiply
    259,236x = 556,056 × 556,056
  4. Step 4: Simplify right side
    259,236x = 309,198,275,136
  5. Step 5: Solve for x
    x = 309,198,275,136/259,236
  6. Step 6: Final answer
    x = 1,192,728.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.