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Finding the Third Proportional to 414,846.56 and 567,739.13

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Solution

The third proportional to 414,846.56 and 567,739.13 is: 776,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,846.56 : 567,739.13 = 567,739.13 : x
  2. Step 2: Convert to fraction form
    414,846.56/567,739.13 = 567,739.13/x
  3. Step 3: Cross multiply
    414,846.56x = 567,739.13 × 567,739.13
  4. Step 4: Simplify right side
    414,846.56x = 322,327,714,055.77
  5. Step 5: Solve for x
    x = 322,327,714,055.77/414,846.56
  6. Step 6: Final answer
    x = 776,980.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.