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Finding the Third Proportional to 414,848 and 626,092

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Solution

The third proportional to 414,848 and 626,092 is: 944,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,848 : 626,092 = 626,092 : x
  2. Step 2: Convert to fraction form
    414,848/626,092 = 626,092/x
  3. Step 3: Cross multiply
    414,848x = 626,092 × 626,092
  4. Step 4: Simplify right side
    414,848x = 391,991,192,464
  5. Step 5: Solve for x
    x = 391,991,192,464/414,848
  6. Step 6: Final answer
    x = 944,903.18

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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.