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Finding the Third Proportional to 630,174.94 and 945,720.56

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Solution

The third proportional to 630,174.94 and 945,720.56 is: 1,419,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,174.94 : 945,720.56 = 945,720.56 : x
  2. Step 2: Convert to fraction form
    630,174.94/945,720.56 = 945,720.56/x
  3. Step 3: Cross multiply
    630,174.94x = 945,720.56 × 945,720.56
  4. Step 4: Simplify right side
    630,174.94x = 894,387,382,335.32
  5. Step 5: Solve for x
    x = 894,387,382,335.32/630,174.94
  6. Step 6: Final answer
    x = 1,419,268.41

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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.