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Finding the Third Proportional to 543,653.25 and 819,489.75

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Solution

The third proportional to 543,653.25 and 819,489.75 is: 1,235,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,653.25 : 819,489.75 = 819,489.75 : x
  2. Step 2: Convert to fraction form
    543,653.25/819,489.75 = 819,489.75/x
  3. Step 3: Cross multiply
    543,653.25x = 819,489.75 × 819,489.75
  4. Step 4: Simplify right side
    543,653.25x = 671,563,450,355.06
  5. Step 5: Solve for x
    x = 671,563,450,355.06/543,653.25
  6. Step 6: Final answer
    x = 1,235,279.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.