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Finding the Third Proportional to 454,086 and 648,141.75

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Solution

The third proportional to 454,086 and 648,141.75 is: 925,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,086 : 648,141.75 = 648,141.75 : x
  2. Step 2: Convert to fraction form
    454,086/648,141.75 = 648,141.75/x
  3. Step 3: Cross multiply
    454,086x = 648,141.75 × 648,141.75
  4. Step 4: Simplify right side
    454,086x = 420,087,728,093.06
  5. Step 5: Solve for x
    x = 420,087,728,093.06/454,086
  6. Step 6: Final answer
    x = 925,128.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.