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Finding the Third Proportional to 566,964.56 and 816,912.84

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Solution

The third proportional to 566,964.56 and 816,912.84 is: 1,177,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,964.56 : 816,912.84 = 816,912.84 : x
  2. Step 2: Convert to fraction form
    566,964.56/816,912.84 = 816,912.84/x
  3. Step 3: Cross multiply
    566,964.56x = 816,912.84 × 816,912.84
  4. Step 4: Simplify right side
    566,964.56x = 667,346,594,283.71
  5. Step 5: Solve for x
    x = 667,346,594,283.71/566,964.56
  6. Step 6: Final answer
    x = 1,177,051.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.