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Finding the Third Proportional to 580,454 and 836,074

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Solution

The third proportional to 580,454 and 836,074 is: 1,204,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,454 : 836,074 = 836,074 : x
  2. Step 2: Convert to fraction form
    580,454/836,074 = 836,074/x
  3. Step 3: Cross multiply
    580,454x = 836,074 × 836,074
  4. Step 4: Simplify right side
    580,454x = 699,019,733,476
  5. Step 5: Solve for x
    x = 699,019,733,476/580,454
  6. Step 6: Final answer
    x = 1,204,263.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.