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Finding the Third Proportional to 543,717 and 799,537.50

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Solution

The third proportional to 543,717 and 799,537.50 is: 1,175,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,717 : 799,537.50 = 799,537.50 : x
  2. Step 2: Convert to fraction form
    543,717/799,537.50 = 799,537.50/x
  3. Step 3: Cross multiply
    543,717x = 799,537.50 × 799,537.50
  4. Step 4: Simplify right side
    543,717x = 639,260,213,906.25
  5. Step 5: Solve for x
    x = 639,260,213,906.25/543,717
  6. Step 6: Final answer
    x = 1,175,722.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.