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Finding the Third Proportional to 454,975 and 713,656.50

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Solution

The third proportional to 454,975 and 713,656.50 is: 1,119,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,975 : 713,656.50 = 713,656.50 : x
  2. Step 2: Convert to fraction form
    454,975/713,656.50 = 713,656.50/x
  3. Step 3: Cross multiply
    454,975x = 713,656.50 × 713,656.50
  4. Step 4: Simplify right side
    454,975x = 509,305,599,992.25
  5. Step 5: Solve for x
    x = 509,305,599,992.25/454,975
  6. Step 6: Final answer
    x = 1,119,414.47

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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.