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Finding the Third Proportional to 291,606.75 and 437,410.13

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Solution

The third proportional to 291,606.75 and 437,410.13 is: 656,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,606.75 : 437,410.13 = 437,410.13 : x
  2. Step 2: Convert to fraction form
    291,606.75/437,410.13 = 437,410.13/x
  3. Step 3: Cross multiply
    291,606.75x = 437,410.13 × 437,410.13
  4. Step 4: Simplify right side
    291,606.75x = 191,327,617,452.52
  5. Step 5: Solve for x
    x = 191,327,617,452.52/291,606.75
  6. Step 6: Final answer
    x = 656,115.19

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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.