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Finding the Third Proportional to 587,150.44 and 899,679.66

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Solution

The third proportional to 587,150.44 and 899,679.66 is: 1,378,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,150.44 : 899,679.66 = 899,679.66 : x
  2. Step 2: Convert to fraction form
    587,150.44/899,679.66 = 899,679.66/x
  3. Step 3: Cross multiply
    587,150.44x = 899,679.66 × 899,679.66
  4. Step 4: Simplify right side
    587,150.44x = 809,423,483,870.12
  5. Step 5: Solve for x
    x = 809,423,483,870.12/587,150.44
  6. Step 6: Final answer
    x = 1,378,562.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.