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Finding the Third Proportional to 414,934 and 626,210

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Solution

The third proportional to 414,934 and 626,210 is: 945,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,934 : 626,210 = 626,210 : x
  2. Step 2: Convert to fraction form
    414,934/626,210 = 626,210/x
  3. Step 3: Cross multiply
    414,934x = 626,210 × 626,210
  4. Step 4: Simplify right side
    414,934x = 392,138,964,100
  5. Step 5: Solve for x
    x = 392,138,964,100/414,934
  6. Step 6: Final answer
    x = 945,063.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.