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Finding the Third Proportional to 297,759 and 649,056

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Solution

The third proportional to 297,759 and 649,056 is: 1,414,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,759 : 649,056 = 649,056 : x
  2. Step 2: Convert to fraction form
    297,759/649,056 = 649,056/x
  3. Step 3: Cross multiply
    297,759x = 649,056 × 649,056
  4. Step 4: Simplify right side
    297,759x = 421,273,691,136
  5. Step 5: Solve for x
    x = 421,273,691,136/297,759
  6. Step 6: Final answer
    x = 1,414,814.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.