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Finding the Third Proportional to 236,567 and 354,499

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Solution

The third proportional to 236,567 and 354,499 is: 531,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,567 : 354,499 = 354,499 : x
  2. Step 2: Convert to fraction form
    236,567/354,499 = 354,499/x
  3. Step 3: Cross multiply
    236,567x = 354,499 × 354,499
  4. Step 4: Simplify right side
    236,567x = 125,669,541,001
  5. Step 5: Solve for x
    x = 125,669,541,001/236,567
  6. Step 6: Final answer
    x = 531,221.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.