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Finding the Third Proportional to 291,801 and 437,704.50

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Solution

The third proportional to 291,801 and 437,704.50 is: 656,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,801 : 437,704.50 = 437,704.50 : x
  2. Step 2: Convert to fraction form
    291,801/437,704.50 = 437,704.50/x
  3. Step 3: Cross multiply
    291,801x = 437,704.50 × 437,704.50
  4. Step 4: Simplify right side
    291,801x = 191,585,229,320.25
  5. Step 5: Solve for x
    x = 191,585,229,320.25/291,801
  6. Step 6: Final answer
    x = 656,561.25

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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.