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Finding the Third Proportional to 414,011.25 and 843,247.13

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Solution

The third proportional to 414,011.25 and 843,247.13 is: 1,717,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,011.25 : 843,247.13 = 843,247.13 : x
  2. Step 2: Convert to fraction form
    414,011.25/843,247.13 = 843,247.13/x
  3. Step 3: Cross multiply
    414,011.25x = 843,247.13 × 843,247.13
  4. Step 4: Simplify right side
    414,011.25x = 711,065,713,820.77
  5. Step 5: Solve for x
    x = 711,065,713,820.77/414,011.25
  6. Step 6: Final answer
    x = 1,717,503.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.