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Finding the Third Proportional to 622,950.75 and 960,715.69

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Solution

The third proportional to 622,950.75 and 960,715.69 is: 1,481,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,950.75 : 960,715.69 = 960,715.69 : x
  2. Step 2: Convert to fraction form
    622,950.75/960,715.69 = 960,715.69/x
  3. Step 3: Cross multiply
    622,950.75x = 960,715.69 × 960,715.69
  4. Step 4: Simplify right side
    622,950.75x = 922,974,632,208.60
  5. Step 5: Solve for x
    x = 922,974,632,208.60/622,950.75
  6. Step 6: Final answer
    x = 1,481,617.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.