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Finding the Third Proportional to 388,674 and 836,964

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Solution

The third proportional to 388,674 and 836,964 is: 1,802,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,674 : 836,964 = 836,964 : x
  2. Step 2: Convert to fraction form
    388,674/836,964 = 836,964/x
  3. Step 3: Cross multiply
    388,674x = 836,964 × 836,964
  4. Step 4: Simplify right side
    388,674x = 700,508,737,296
  5. Step 5: Solve for x
    x = 700,508,737,296/388,674
  6. Step 6: Final answer
    x = 1,802,304.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.