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Finding the Third Proportional to 552,210 and 836,632

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Solution

The third proportional to 552,210 and 836,632 is: 1,267,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,210 : 836,632 = 836,632 : x
  2. Step 2: Convert to fraction form
    552,210/836,632 = 836,632/x
  3. Step 3: Cross multiply
    552,210x = 836,632 × 836,632
  4. Step 4: Simplify right side
    552,210x = 699,953,103,424
  5. Step 5: Solve for x
    x = 699,953,103,424/552,210
  6. Step 6: Final answer
    x = 1,267,548.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.