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Finding the Third Proportional to 564,721.88 and 828,245.25

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Solution

The third proportional to 564,721.88 and 828,245.25 is: 1,214,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,721.88 : 828,245.25 = 828,245.25 : x
  2. Step 2: Convert to fraction form
    564,721.88/828,245.25 = 828,245.25/x
  3. Step 3: Cross multiply
    564,721.88x = 828,245.25 × 828,245.25
  4. Step 4: Simplify right side
    564,721.88x = 685,990,194,147.56
  5. Step 5: Solve for x
    x = 685,990,194,147.56/564,721.88
  6. Step 6: Final answer
    x = 1,214,739.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.