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Finding the Third Proportional to 291,536 and 607,936

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Solution

The third proportional to 291,536 and 607,936 is: 1,267,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,536 : 607,936 = 607,936 : x
  2. Step 2: Convert to fraction form
    291,536/607,936 = 607,936/x
  3. Step 3: Cross multiply
    291,536x = 607,936 × 607,936
  4. Step 4: Simplify right side
    291,536x = 369,586,180,096
  5. Step 5: Solve for x
    x = 369,586,180,096/291,536
  6. Step 6: Final answer
    x = 1,267,720.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.