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Finding the Third Proportional to 819,200.25 and 1,271,932.50

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Solution

The third proportional to 819,200.25 and 1,271,932.50 is: 1,974,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,200.25 : 1,271,932.50 = 1,271,932.50 : x
  2. Step 2: Convert to fraction form
    819,200.25/1,271,932.50 = 1,271,932.50/x
  3. Step 3: Cross multiply
    819,200.25x = 1,271,932.50 × 1,271,932.50
  4. Step 4: Simplify right side
    819,200.25x = 1,617,812,284,556.25
  5. Step 5: Solve for x
    x = 1,617,812,284,556.25/819,200.25
  6. Step 6: Final answer
    x = 1,974,867.91

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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.