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Finding the Third Proportional to 468,058.50 and 706,299.75

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Solution

The third proportional to 468,058.50 and 706,299.75 is: 1,065,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,058.50 : 706,299.75 = 706,299.75 : x
  2. Step 2: Convert to fraction form
    468,058.50/706,299.75 = 706,299.75/x
  3. Step 3: Cross multiply
    468,058.50x = 706,299.75 × 706,299.75
  4. Step 4: Simplify right side
    468,058.50x = 498,859,336,850.06
  5. Step 5: Solve for x
    x = 498,859,336,850.06/468,058.50
  6. Step 6: Final answer
    x = 1,065,805.53

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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.