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Finding the Third Proportional to 380,473.88 and 899,785.13

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Solution

The third proportional to 380,473.88 and 899,785.13 is: 2,127,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,473.88 : 899,785.13 = 899,785.13 : x
  2. Step 2: Convert to fraction form
    380,473.88/899,785.13 = 899,785.13/x
  3. Step 3: Cross multiply
    380,473.88x = 899,785.13 × 899,785.13
  4. Step 4: Simplify right side
    380,473.88x = 809,613,271,171.27
  5. Step 5: Solve for x
    x = 809,613,271,171.27/380,473.88
  6. Step 6: Final answer
    x = 2,127,907.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.