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Finding the Third Proportional to 291,789.84 and 437,684.77

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Solution

The third proportional to 291,789.84 and 437,684.77 is: 656,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,789.84 : 437,684.77 = 437,684.77 : x
  2. Step 2: Convert to fraction form
    291,789.84/437,684.77 = 437,684.77/x
  3. Step 3: Cross multiply
    291,789.84x = 437,684.77 × 437,684.77
  4. Step 4: Simplify right side
    291,789.84x = 191,567,954,060.21
  5. Step 5: Solve for x
    x = 191,567,954,060.21/291,789.84
  6. Step 6: Final answer
    x = 656,527.15

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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.