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Finding the Third Proportional to 315,732 and 472,128

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Solution

The third proportional to 315,732 and 472,128 is: 705,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,732 : 472,128 = 472,128 : x
  2. Step 2: Convert to fraction form
    315,732/472,128 = 472,128/x
  3. Step 3: Cross multiply
    315,732x = 472,128 × 472,128
  4. Step 4: Simplify right side
    315,732x = 222,904,848,384
  5. Step 5: Solve for x
    x = 222,904,848,384/315,732
  6. Step 6: Final answer
    x = 705,993.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.