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Finding the Third Proportional to 291,600 and 437,400

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Solution

The third proportional to 291,600 and 437,400 is: 656,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,600 : 437,400 = 437,400 : x
  2. Step 2: Convert to fraction form
    291,600/437,400 = 437,400/x
  3. Step 3: Cross multiply
    291,600x = 437,400 × 437,400
  4. Step 4: Simplify right side
    291,600x = 191,318,760,000
  5. Step 5: Solve for x
    x = 191,318,760,000/291,600
  6. Step 6: Final answer
    x = 656,100

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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.