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Finding the Third Proportional to 543,651 and 799,456.50

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Solution

The third proportional to 543,651 and 799,456.50 is: 1,175,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,651 : 799,456.50 = 799,456.50 : x
  2. Step 2: Convert to fraction form
    543,651/799,456.50 = 799,456.50/x
  3. Step 3: Cross multiply
    543,651x = 799,456.50 × 799,456.50
  4. Step 4: Simplify right side
    543,651x = 639,130,695,392.25
  5. Step 5: Solve for x
    x = 639,130,695,392.25/543,651
  6. Step 6: Final answer
    x = 1,175,626.82

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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.