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Finding the Third Proportional to 463,727.25 and 737,667.75

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Solution

The third proportional to 463,727.25 and 737,667.75 is: 1,173,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,727.25 : 737,667.75 = 737,667.75 : x
  2. Step 2: Convert to fraction form
    463,727.25/737,667.75 = 737,667.75/x
  3. Step 3: Cross multiply
    463,727.25x = 737,667.75 × 737,667.75
  4. Step 4: Simplify right side
    463,727.25x = 544,153,709,390.06
  5. Step 5: Solve for x
    x = 544,153,709,390.06/463,727.25
  6. Step 6: Final answer
    x = 1,173,434.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.