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Finding the Third Proportional to 193,562 and 416,787

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Solution

The third proportional to 193,562 and 416,787 is: 897,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,562 : 416,787 = 416,787 : x
  2. Step 2: Convert to fraction form
    193,562/416,787 = 416,787/x
  3. Step 3: Cross multiply
    193,562x = 416,787 × 416,787
  4. Step 4: Simplify right side
    193,562x = 173,711,403,369
  5. Step 5: Solve for x
    x = 173,711,403,369/193,562
  6. Step 6: Final answer
    x = 897,445.80

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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.