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Finding the Third Proportional to 191,579 and 416,320

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Solution

The third proportional to 191,579 and 416,320 is: 904,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,579 : 416,320 = 416,320 : x
  2. Step 2: Convert to fraction form
    191,579/416,320 = 416,320/x
  3. Step 3: Cross multiply
    191,579x = 416,320 × 416,320
  4. Step 4: Simplify right side
    191,579x = 173,322,342,400
  5. Step 5: Solve for x
    x = 173,322,342,400/191,579
  6. Step 6: Final answer
    x = 904,704.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.