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Finding the Third Proportional to 482,629.50 and 723,012

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Solution

The third proportional to 482,629.50 and 723,012 is: 1,083,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,629.50 : 723,012 = 723,012 : x
  2. Step 2: Convert to fraction form
    482,629.50/723,012 = 723,012/x
  3. Step 3: Cross multiply
    482,629.50x = 723,012 × 723,012
  4. Step 4: Simplify right side
    482,629.50x = 522,746,352,144
  5. Step 5: Solve for x
    x = 522,746,352,144/482,629.50
  6. Step 6: Final answer
    x = 1,083,121.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.