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Finding the Third Proportional to 294,761.38 and 631,546.50

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Solution

The third proportional to 294,761.38 and 631,546.50 is: 1,353,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,761.38 : 631,546.50 = 631,546.50 : x
  2. Step 2: Convert to fraction form
    294,761.38/631,546.50 = 631,546.50/x
  3. Step 3: Cross multiply
    294,761.38x = 631,546.50 × 631,546.50
  4. Step 4: Simplify right side
    294,761.38x = 398,850,981,662.25
  5. Step 5: Solve for x
    x = 398,850,981,662.25/294,761.38
  6. Step 6: Final answer
    x = 1,353,131.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.