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Finding the Third Proportional to 291,086 and 437,710

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Solution

The third proportional to 291,086 and 437,710 is: 658,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,086 : 437,710 = 437,710 : x
  2. Step 2: Convert to fraction form
    291,086/437,710 = 437,710/x
  3. Step 3: Cross multiply
    291,086x = 437,710 × 437,710
  4. Step 4: Simplify right side
    291,086x = 191,590,044,100
  5. Step 5: Solve for x
    x = 191,590,044,100/291,086
  6. Step 6: Final answer
    x = 658,190.51

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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.