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Finding the Third Proportional to 433,876.50 and 942,381.84

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Solution

The third proportional to 433,876.50 and 942,381.84 is: 2,046,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,876.50 : 942,381.84 = 942,381.84 : x
  2. Step 2: Convert to fraction form
    433,876.50/942,381.84 = 942,381.84/x
  3. Step 3: Cross multiply
    433,876.50x = 942,381.84 × 942,381.84
  4. Step 4: Simplify right side
    433,876.50x = 888,083,539,429.65
  5. Step 5: Solve for x
    x = 888,083,539,429.65/433,876.50
  6. Step 6: Final answer
    x = 2,046,857.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.