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Finding the Third Proportional to 520,439.77 and 1,204,743.16

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Solution

The third proportional to 520,439.77 and 1,204,743.16 is: 2,788,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,439.77 : 1,204,743.16 = 1,204,743.16 : x
  2. Step 2: Convert to fraction form
    520,439.77/1,204,743.16 = 1,204,743.16/x
  3. Step 3: Cross multiply
    520,439.77x = 1,204,743.16 × 1,204,743.16
  4. Step 4: Simplify right side
    520,439.77x = 1,451,406,091,355.32
  5. Step 5: Solve for x
    x = 1,451,406,091,355.32/520,439.77
  6. Step 6: Final answer
    x = 2,788,807.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.