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Finding the Third Proportional to 291,228.75 and 622,950.75

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Solution

The third proportional to 291,228.75 and 622,950.75 is: 1,332,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228.75 : 622,950.75 = 622,950.75 : x
  2. Step 2: Convert to fraction form
    291,228.75/622,950.75 = 622,950.75/x
  3. Step 3: Cross multiply
    291,228.75x = 622,950.75 × 622,950.75
  4. Step 4: Simplify right side
    291,228.75x = 388,067,636,925.56
  5. Step 5: Solve for x
    x = 388,067,636,925.56/291,228.75
  6. Step 6: Final answer
    x = 1,332,518.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.