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Finding the Third Proportional to 433,933 and 671,833.50

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Solution

The third proportional to 433,933 and 671,833.50 is: 1,040,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,933 : 671,833.50 = 671,833.50 : x
  2. Step 2: Convert to fraction form
    433,933/671,833.50 = 671,833.50/x
  3. Step 3: Cross multiply
    433,933x = 671,833.50 × 671,833.50
  4. Step 4: Simplify right side
    433,933x = 451,360,251,722.25
  5. Step 5: Solve for x
    x = 451,360,251,722.25/433,933
  6. Step 6: Final answer
    x = 1,040,161.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.