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Finding the Third Proportional to 320,935.50 and 482,683.50

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Solution

The third proportional to 320,935.50 and 482,683.50 is: 725,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,935.50 : 482,683.50 = 482,683.50 : x
  2. Step 2: Convert to fraction form
    320,935.50/482,683.50 = 482,683.50/x
  3. Step 3: Cross multiply
    320,935.50x = 482,683.50 × 482,683.50
  4. Step 4: Simplify right side
    320,935.50x = 232,983,361,172.25
  5. Step 5: Solve for x
    x = 232,983,361,172.25/320,935.50
  6. Step 6: Final answer
    x = 725,950.73

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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.