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Finding the Third Proportional to 291,602 and 437,404

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Solution

The third proportional to 291,602 and 437,404 is: 656,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,602 : 437,404 = 437,404 : x
  2. Step 2: Convert to fraction form
    291,602/437,404 = 437,404/x
  3. Step 3: Cross multiply
    291,602x = 437,404 × 437,404
  4. Step 4: Simplify right side
    291,602x = 191,322,259,216
  5. Step 5: Solve for x
    x = 191,322,259,216/291,602
  6. Step 6: Final answer
    x = 656,107.50

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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.