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Finding the Third Proportional to 323,963 and 479,568.50

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Solution

The third proportional to 323,963 and 479,568.50 is: 709,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,963 : 479,568.50 = 479,568.50 : x
  2. Step 2: Convert to fraction form
    323,963/479,568.50 = 479,568.50/x
  3. Step 3: Cross multiply
    323,963x = 479,568.50 × 479,568.50
  4. Step 4: Simplify right side
    323,963x = 229,985,946,192.25
  5. Step 5: Solve for x
    x = 229,985,946,192.25/323,963
  6. Step 6: Final answer
    x = 709,914.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.