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Finding the Third Proportional to 310,329.56 and 474,516.56

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Solution

The third proportional to 310,329.56 and 474,516.56 is: 725,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329.56 : 474,516.56 = 474,516.56 : x
  2. Step 2: Convert to fraction form
    310,329.56/474,516.56 = 474,516.56/x
  3. Step 3: Cross multiply
    310,329.56x = 474,516.56 × 474,516.56
  4. Step 4: Simplify right side
    310,329.56x = 225,165,968,086.82
  5. Step 5: Solve for x
    x = 225,165,968,086.82/310,329.56
  6. Step 6: Final answer
    x = 725,570.48

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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.