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Finding the Third Proportional to 447,180 and 718,074

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Solution

The third proportional to 447,180 and 718,074 is: 1,153,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,180 : 718,074 = 718,074 : x
  2. Step 2: Convert to fraction form
    447,180/718,074 = 718,074/x
  3. Step 3: Cross multiply
    447,180x = 718,074 × 718,074
  4. Step 4: Simplify right side
    447,180x = 515,630,269,476
  5. Step 5: Solve for x
    x = 515,630,269,476/447,180
  6. Step 6: Final answer
    x = 1,153,070.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.