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Finding the Third Proportional to 463,727.25 and 737,667

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Solution

The third proportional to 463,727.25 and 737,667 is: 1,173,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,727.25 : 737,667 = 737,667 : x
  2. Step 2: Convert to fraction form
    463,727.25/737,667 = 737,667/x
  3. Step 3: Cross multiply
    463,727.25x = 737,667 × 737,667
  4. Step 4: Simplify right side
    463,727.25x = 544,152,602,889
  5. Step 5: Solve for x
    x = 544,152,602,889/463,727.25
  6. Step 6: Final answer
    x = 1,173,432.45

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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.