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Finding the Third Proportional to 296,238.94 and 637,434.56

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Solution

The third proportional to 296,238.94 and 637,434.56 is: 1,371,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,238.94 : 637,434.56 = 637,434.56 : x
  2. Step 2: Convert to fraction form
    296,238.94/637,434.56 = 637,434.56/x
  3. Step 3: Cross multiply
    296,238.94x = 637,434.56 × 637,434.56
  4. Step 4: Simplify right side
    296,238.94x = 406,322,821,469.57
  5. Step 5: Solve for x
    x = 406,322,821,469.57/296,238.94
  6. Step 6: Final answer
    x = 1,371,605.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.