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Finding the Third Proportional to 268,536 and 571,056

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Solution

The third proportional to 268,536 and 571,056 is: 1,214,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,536 : 571,056 = 571,056 : x
  2. Step 2: Convert to fraction form
    268,536/571,056 = 571,056/x
  3. Step 3: Cross multiply
    268,536x = 571,056 × 571,056
  4. Step 4: Simplify right side
    268,536x = 326,104,955,136
  5. Step 5: Solve for x
    x = 326,104,955,136/268,536
  6. Step 6: Final answer
    x = 1,214,380.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.