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Finding the Third Proportional to 454,978 and 713,662

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Solution

The third proportional to 454,978 and 713,662 is: 1,119,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,978 : 713,662 = 713,662 : x
  2. Step 2: Convert to fraction form
    454,978/713,662 = 713,662/x
  3. Step 3: Cross multiply
    454,978x = 713,662 × 713,662
  4. Step 4: Simplify right side
    454,978x = 509,313,450,244
  5. Step 5: Solve for x
    x = 509,313,450,244/454,978
  6. Step 6: Final answer
    x = 1,119,424.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.