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Finding the Third Proportional to 302,860.69 and 475,165.41

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Solution

The third proportional to 302,860.69 and 475,165.41 is: 745,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,860.69 : 475,165.41 = 475,165.41 : x
  2. Step 2: Convert to fraction form
    302,860.69/475,165.41 = 475,165.41/x
  3. Step 3: Cross multiply
    302,860.69x = 475,165.41 × 475,165.41
  4. Step 4: Simplify right side
    302,860.69x = 225,782,163,296.73
  5. Step 5: Solve for x
    x = 225,782,163,296.73/302,860.69
  6. Step 6: Final answer
    x = 745,498.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.