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Finding the Third Proportional to 465,381 and 746,662.50

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Solution

The third proportional to 465,381 and 746,662.50 is: 1,197,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,381 : 746,662.50 = 746,662.50 : x
  2. Step 2: Convert to fraction form
    465,381/746,662.50 = 746,662.50/x
  3. Step 3: Cross multiply
    465,381x = 746,662.50 × 746,662.50
  4. Step 4: Simplify right side
    465,381x = 557,504,888,906.25
  5. Step 5: Solve for x
    x = 557,504,888,906.25/465,381
  6. Step 6: Final answer
    x = 1,197,953.70

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.