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Finding the Third Proportional to 291,831 and 639,022.50

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Solution

The third proportional to 291,831 and 639,022.50 is: 1,399,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,831 : 639,022.50 = 639,022.50 : x
  2. Step 2: Convert to fraction form
    291,831/639,022.50 = 639,022.50/x
  3. Step 3: Cross multiply
    291,831x = 639,022.50 × 639,022.50
  4. Step 4: Simplify right side
    291,831x = 408,349,755,506.25
  5. Step 5: Solve for x
    x = 408,349,755,506.25/291,831
  6. Step 6: Final answer
    x = 1,399,267.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.