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Finding the Third Proportional to 294,831 and 631,732.50

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Solution

The third proportional to 294,831 and 631,732.50 is: 1,353,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,831 : 631,732.50 = 631,732.50 : x
  2. Step 2: Convert to fraction form
    294,831/631,732.50 = 631,732.50/x
  3. Step 3: Cross multiply
    294,831x = 631,732.50 × 631,732.50
  4. Step 4: Simplify right side
    294,831x = 399,085,951,556.25
  5. Step 5: Solve for x
    x = 399,085,951,556.25/294,831
  6. Step 6: Final answer
    x = 1,353,609.19

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