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Finding the Third Proportional to 301,150.13 and 412,972.88

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Solution

The third proportional to 301,150.13 and 412,972.88 is: 566,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,150.13 : 412,972.88 = 412,972.88 : x
  2. Step 2: Convert to fraction form
    301,150.13/412,972.88 = 412,972.88/x
  3. Step 3: Cross multiply
    301,150.13x = 412,972.88 × 412,972.88
  4. Step 4: Simplify right side
    301,150.13x = 170,546,595,485.77
  5. Step 5: Solve for x
    x = 170,546,595,485.77/301,150.13
  6. Step 6: Final answer
    x = 566,317.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.