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Finding the Third Proportional to 472,771.69 and 733,267.69

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Solution

The third proportional to 472,771.69 and 733,267.69 is: 1,137,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,771.69 : 733,267.69 = 733,267.69 : x
  2. Step 2: Convert to fraction form
    472,771.69/733,267.69 = 733,267.69/x
  3. Step 3: Cross multiply
    472,771.69x = 733,267.69 × 733,267.69
  4. Step 4: Simplify right side
    472,771.69x = 537,681,501,531.60
  5. Step 5: Solve for x
    x = 537,681,501,531.60/472,771.69
  6. Step 6: Final answer
    x = 1,137,296.32

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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.