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Finding the Third Proportional to 392,881.50 and 857,729.25

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Solution

The third proportional to 392,881.50 and 857,729.25 is: 1,872,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,881.50 : 857,729.25 = 857,729.25 : x
  2. Step 2: Convert to fraction form
    392,881.50/857,729.25 = 857,729.25/x
  3. Step 3: Cross multiply
    392,881.50x = 857,729.25 × 857,729.25
  4. Step 4: Simplify right side
    392,881.50x = 735,699,466,305.56
  5. Step 5: Solve for x
    x = 735,699,466,305.56/392,881.50
  6. Step 6: Final answer
    x = 1,872,573.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.