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Finding the Third Proportional to 614,410.31 and 953,964.84

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Solution

The third proportional to 614,410.31 and 953,964.84 is: 1,481,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,410.31 : 953,964.84 = 953,964.84 : x
  2. Step 2: Convert to fraction form
    614,410.31/953,964.84 = 953,964.84/x
  3. Step 3: Cross multiply
    614,410.31x = 953,964.84 × 953,964.84
  4. Step 4: Simplify right side
    614,410.31x = 910,048,923,110.96
  5. Step 5: Solve for x
    x = 910,048,923,110.96/614,410.31
  6. Step 6: Final answer
    x = 1,481,174.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.