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Finding the Third Proportional to 294,931.13 and 443,856.38

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Solution

The third proportional to 294,931.13 and 443,856.38 is: 667,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,931.13 : 443,856.38 = 443,856.38 : x
  2. Step 2: Convert to fraction form
    294,931.13/443,856.38 = 443,856.38/x
  3. Step 3: Cross multiply
    294,931.13x = 443,856.38 × 443,856.38
  4. Step 4: Simplify right side
    294,931.13x = 197,008,481,628.14
  5. Step 5: Solve for x
    x = 197,008,481,628.14/294,931.13
  6. Step 6: Final answer
    x = 667,981.32

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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.