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Finding the Third Proportional to 310,356.56 and 474,556.22

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Solution

The third proportional to 310,356.56 and 474,556.22 is: 725,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,356.56 : 474,556.22 = 474,556.22 : x
  2. Step 2: Convert to fraction form
    310,356.56/474,556.22 = 474,556.22/x
  3. Step 3: Cross multiply
    310,356.56x = 474,556.22 × 474,556.22
  4. Step 4: Simplify right side
    310,356.56x = 225,203,604,754.30
  5. Step 5: Solve for x
    x = 225,203,604,754.30/310,356.56
  6. Step 6: Final answer
    x = 725,628.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.