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Finding the Third Proportional to 191,583 and 416,327

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Solution

The third proportional to 191,583 and 416,327 is: 904,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,583 : 416,327 = 416,327 : x
  2. Step 2: Convert to fraction form
    191,583/416,327 = 416,327/x
  3. Step 3: Cross multiply
    191,583x = 416,327 × 416,327
  4. Step 4: Simplify right side
    191,583x = 173,328,170,929
  5. Step 5: Solve for x
    x = 173,328,170,929/191,583
  6. Step 6: Final answer
    x = 904,715.82

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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.