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Finding the Third Proportional to 459,715.75 and 713,630.75

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Solution

The third proportional to 459,715.75 and 713,630.75 is: 1,107,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,715.75 : 713,630.75 = 713,630.75 : x
  2. Step 2: Convert to fraction form
    459,715.75/713,630.75 = 713,630.75/x
  3. Step 3: Cross multiply
    459,715.75x = 713,630.75 × 713,630.75
  4. Step 4: Simplify right side
    459,715.75x = 509,268,847,345.56
  5. Step 5: Solve for x
    x = 509,268,847,345.56/459,715.75
  6. Step 6: Final answer
    x = 1,107,790.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.