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Finding the Third Proportional to 414,922.50 and 567,847.13

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Solution

The third proportional to 414,922.50 and 567,847.13 is: 777,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,922.50 : 567,847.13 = 567,847.13 : x
  2. Step 2: Convert to fraction form
    414,922.50/567,847.13 = 567,847.13/x
  3. Step 3: Cross multiply
    414,922.50x = 567,847.13 × 567,847.13
  4. Step 4: Simplify right side
    414,922.50x = 322,450,357,370.77
  5. Step 5: Solve for x
    x = 322,450,357,370.77/414,922.50
  6. Step 6: Final answer
    x = 777,133.94

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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.