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Finding the Third Proportional to 301,051.13 and 412,825.50

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Solution

The third proportional to 301,051.13 and 412,825.50 is: 566,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,051.13 : 412,825.50 = 412,825.50 : x
  2. Step 2: Convert to fraction form
    301,051.13/412,825.50 = 412,825.50/x
  3. Step 3: Cross multiply
    301,051.13x = 412,825.50 × 412,825.50
  4. Step 4: Simplify right side
    301,051.13x = 170,424,893,450.25
  5. Step 5: Solve for x
    x = 170,424,893,450.25/301,051.13
  6. Step 6: Final answer
    x = 566,099.51

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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.