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Finding the Third Proportional to 291,204 and 412,506

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Solution

The third proportional to 291,204 and 412,506 is: 584,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,204 : 412,506 = 412,506 : x
  2. Step 2: Convert to fraction form
    291,204/412,506 = 412,506/x
  3. Step 3: Cross multiply
    291,204x = 412,506 × 412,506
  4. Step 4: Simplify right side
    291,204x = 170,161,200,036
  5. Step 5: Solve for x
    x = 170,161,200,036/291,204
  6. Step 6: Final answer
    x = 584,336.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.