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Finding the Third Proportional to 367,800 and 772,680

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Solution

The third proportional to 367,800 and 772,680 is: 1,623,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,800 : 772,680 = 772,680 : x
  2. Step 2: Convert to fraction form
    367,800/772,680 = 772,680/x
  3. Step 3: Cross multiply
    367,800x = 772,680 × 772,680
  4. Step 4: Simplify right side
    367,800x = 597,034,382,400
  5. Step 5: Solve for x
    x = 597,034,382,400/367,800
  6. Step 6: Final answer
    x = 1,623,258.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.