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Finding the Third Proportional to 193,564 and 416,791

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Solution

The third proportional to 193,564 and 416,791 is: 897,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,564 : 416,791 = 416,791 : x
  2. Step 2: Convert to fraction form
    193,564/416,791 = 416,791/x
  3. Step 3: Cross multiply
    193,564x = 416,791 × 416,791
  4. Step 4: Simplify right side
    193,564x = 173,714,737,681
  5. Step 5: Solve for x
    x = 173,714,737,681/193,564
  6. Step 6: Final answer
    x = 897,453.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.