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Finding the Third Proportional to 459,716.25 and 713,631.38

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Solution

The third proportional to 459,716.25 and 713,631.38 is: 1,107,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,716.25 : 713,631.38 = 713,631.38 : x
  2. Step 2: Convert to fraction form
    459,716.25/713,631.38 = 713,631.38/x
  3. Step 3: Cross multiply
    459,716.25x = 713,631.38 × 713,631.38
  4. Step 4: Simplify right side
    459,716.25x = 509,269,739,384.39
  5. Step 5: Solve for x
    x = 509,269,739,384.39/459,716.25
  6. Step 6: Final answer
    x = 1,107,791.47

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Why These Related Problems?

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