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Finding the Third Proportional to 414,891 and 626,153

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Solution

The third proportional to 414,891 and 626,153 is: 944,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,891 : 626,153 = 626,153 : x
  2. Step 2: Convert to fraction form
    414,891/626,153 = 626,153/x
  3. Step 3: Cross multiply
    414,891x = 626,153 × 626,153
  4. Step 4: Simplify right side
    414,891x = 392,067,579,409
  5. Step 5: Solve for x
    x = 392,067,579,409/414,891
  6. Step 6: Final answer
    x = 944,989.36

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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.