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Finding the Third Proportional to 470,227.50 and 726,516

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Solution

The third proportional to 470,227.50 and 726,516 is: 1,122,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,227.50 : 726,516 = 726,516 : x
  2. Step 2: Convert to fraction form
    470,227.50/726,516 = 726,516/x
  3. Step 3: Cross multiply
    470,227.50x = 726,516 × 726,516
  4. Step 4: Simplify right side
    470,227.50x = 527,825,498,256
  5. Step 5: Solve for x
    x = 527,825,498,256/470,227.50
  6. Step 6: Final answer
    x = 1,122,489.64

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