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Finding the Third Proportional to 193,567 and 417,749

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Solution

The third proportional to 193,567 and 417,749 is: 901,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,567 : 417,749 = 417,749 : x
  2. Step 2: Convert to fraction form
    193,567/417,749 = 417,749/x
  3. Step 3: Cross multiply
    193,567x = 417,749 × 417,749
  4. Step 4: Simplify right side
    193,567x = 174,514,227,001
  5. Step 5: Solve for x
    x = 174,514,227,001/193,567
  6. Step 6: Final answer
    x = 901,570.14

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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.