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Finding the Third Proportional to 291,856 and 419,352

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Solution

The third proportional to 291,856 and 419,352 is: 602,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,856 : 419,352 = 419,352 : x
  2. Step 2: Convert to fraction form
    291,856/419,352 = 419,352/x
  3. Step 3: Cross multiply
    291,856x = 419,352 × 419,352
  4. Step 4: Simplify right side
    291,856x = 175,856,099,904
  5. Step 5: Solve for x
    x = 175,856,099,904/291,856
  6. Step 6: Final answer
    x = 602,544.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.