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Finding the Third Proportional to 396,292.50 and 857,223

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Solution

The third proportional to 396,292.50 and 857,223 is: 1,854,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,292.50 : 857,223 = 857,223 : x
  2. Step 2: Convert to fraction form
    396,292.50/857,223 = 857,223/x
  3. Step 3: Cross multiply
    396,292.50x = 857,223 × 857,223
  4. Step 4: Simplify right side
    396,292.50x = 734,831,271,729
  5. Step 5: Solve for x
    x = 734,831,271,729/396,292.50
  6. Step 6: Final answer
    x = 1,854,264.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.