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Finding the Third Proportional to 193,563 and 417,741

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Solution

The third proportional to 193,563 and 417,741 is: 901,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,563 : 417,741 = 417,741 : x
  2. Step 2: Convert to fraction form
    193,563/417,741 = 417,741/x
  3. Step 3: Cross multiply
    193,563x = 417,741 × 417,741
  4. Step 4: Simplify right side
    193,563x = 174,507,543,081
  5. Step 5: Solve for x
    x = 174,507,543,081/193,563
  6. Step 6: Final answer
    x = 901,554.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.