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Finding the Third Proportional to 315,231 and 471,732

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Solution

The third proportional to 315,231 and 471,732 is: 705,930.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,231 : 471,732 = 471,732 : x
  2. Step 2: Convert to fraction form
    315,231/471,732 = 471,732/x
  3. Step 3: Cross multiply
    315,231x = 471,732 × 471,732
  4. Step 4: Simplify right side
    315,231x = 222,531,079,824
  5. Step 5: Solve for x
    x = 222,531,079,824/315,231
  6. Step 6: Final answer
    x = 705,930.19

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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.