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Finding the Third Proportional to 433,944 and 671,854.50

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Solution

The third proportional to 433,944 and 671,854.50 is: 1,040,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,944 : 671,854.50 = 671,854.50 : x
  2. Step 2: Convert to fraction form
    433,944/671,854.50 = 671,854.50/x
  3. Step 3: Cross multiply
    433,944x = 671,854.50 × 671,854.50
  4. Step 4: Simplify right side
    433,944x = 451,388,469,170.25
  5. Step 5: Solve for x
    x = 451,388,469,170.25/433,944
  6. Step 6: Final answer
    x = 1,040,199.82

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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.