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Finding the Third Proportional to 475,736.57 and 736,137.47

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Solution

The third proportional to 475,736.57 and 736,137.47 is: 1,139,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,736.57 : 736,137.47 = 736,137.47 : x
  2. Step 2: Convert to fraction form
    475,736.57/736,137.47 = 736,137.47/x
  3. Step 3: Cross multiply
    475,736.57x = 736,137.47 × 736,137.47
  4. Step 4: Simplify right side
    475,736.57x = 541,898,378,289.25
  5. Step 5: Solve for x
    x = 541,898,378,289.25/475,736.57
  6. Step 6: Final answer
    x = 1,139,072.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.