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Finding the Third Proportional to 622,311.75 and 961,101.28

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Solution

The third proportional to 622,311.75 and 961,101.28 is: 1,484,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,311.75 : 961,101.28 = 961,101.28 : x
  2. Step 2: Convert to fraction form
    622,311.75/961,101.28 = 961,101.28/x
  3. Step 3: Cross multiply
    622,311.75x = 961,101.28 × 961,101.28
  4. Step 4: Simplify right side
    622,311.75x = 923,715,672,820.39
  5. Step 5: Solve for x
    x = 923,715,672,820.39/622,311.75
  6. Step 6: Final answer
    x = 1,484,329.47

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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.