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Finding the Third Proportional to 347,032 and 471,396

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Solution

The third proportional to 347,032 and 471,396 is: 640,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,032 : 471,396 = 471,396 : x
  2. Step 2: Convert to fraction form
    347,032/471,396 = 471,396/x
  3. Step 3: Cross multiply
    347,032x = 471,396 × 471,396
  4. Step 4: Simplify right side
    347,032x = 222,214,188,816
  5. Step 5: Solve for x
    x = 222,214,188,816/347,032
  6. Step 6: Final answer
    x = 640,327.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.