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Finding the Third Proportional to 360,585 and 771,198

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Solution

The third proportional to 360,585 and 771,198 is: 1,649,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,585 : 771,198 = 771,198 : x
  2. Step 2: Convert to fraction form
    360,585/771,198 = 771,198/x
  3. Step 3: Cross multiply
    360,585x = 771,198 × 771,198
  4. Step 4: Simplify right side
    360,585x = 594,746,355,204
  5. Step 5: Solve for x
    x = 594,746,355,204/360,585
  6. Step 6: Final answer
    x = 1,649,392.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.