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Finding the Third Proportional to 482,632.50 and 723,016.50

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Solution

The third proportional to 482,632.50 and 723,016.50 is: 1,083,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,632.50 : 723,016.50 = 723,016.50 : x
  2. Step 2: Convert to fraction form
    482,632.50/723,016.50 = 723,016.50/x
  3. Step 3: Cross multiply
    482,632.50x = 723,016.50 × 723,016.50
  4. Step 4: Simplify right side
    482,632.50x = 522,752,859,272.25
  5. Step 5: Solve for x
    x = 522,752,859,272.25/482,632.50
  6. Step 6: Final answer
    x = 1,083,128.18

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