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Finding the Third Proportional to 627,076.69 and 944,698.57

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Solution

The third proportional to 627,076.69 and 944,698.57 is: 1,423,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,076.69 : 944,698.57 = 944,698.57 : x
  2. Step 2: Convert to fraction form
    627,076.69/944,698.57 = 944,698.57/x
  3. Step 3: Cross multiply
    627,076.69x = 944,698.57 × 944,698.57
  4. Step 4: Simplify right side
    627,076.69x = 892,455,388,750.48
  5. Step 5: Solve for x
    x = 892,455,388,750.48/627,076.69
  6. Step 6: Final answer
    x = 1,423,199.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.