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Finding the Third Proportional to 414,844 and 626,086

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Solution

The third proportional to 414,844 and 626,086 is: 944,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,844 : 626,086 = 626,086 : x
  2. Step 2: Convert to fraction form
    414,844/626,086 = 626,086/x
  3. Step 3: Cross multiply
    414,844x = 626,086 × 626,086
  4. Step 4: Simplify right side
    414,844x = 391,983,679,396
  5. Step 5: Solve for x
    x = 391,983,679,396/414,844
  6. Step 6: Final answer
    x = 944,894.18

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