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Finding the Third Proportional to 294,462.84 and 444,150.84

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Solution

The third proportional to 294,462.84 and 444,150.84 is: 669,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,462.84 : 444,150.84 = 444,150.84 : x
  2. Step 2: Convert to fraction form
    294,462.84/444,150.84 = 444,150.84/x
  3. Step 3: Cross multiply
    294,462.84x = 444,150.84 × 444,150.84
  4. Step 4: Simplify right side
    294,462.84x = 197,269,972,003.84
  5. Step 5: Solve for x
    x = 197,269,972,003.84/294,462.84
  6. Step 6: Final answer
    x = 669,931.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.