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Finding the Third Proportional to 307,766.25 and 472,766.63

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Solution

The third proportional to 307,766.25 and 472,766.63 is: 726,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,766.25 : 472,766.63 = 472,766.63 : x
  2. Step 2: Convert to fraction form
    307,766.25/472,766.63 = 472,766.63/x
  3. Step 3: Cross multiply
    307,766.25x = 472,766.63 × 472,766.63
  4. Step 4: Simplify right side
    307,766.25x = 223,508,281,713.89
  5. Step 5: Solve for x
    x = 223,508,281,713.89/307,766.25
  6. Step 6: Final answer
    x = 726,227.39

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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.