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Finding the Third Proportional to 521,880 and 806,395.50

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Solution

The third proportional to 521,880 and 806,395.50 is: 1,246,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,880 : 806,395.50 = 806,395.50 : x
  2. Step 2: Convert to fraction form
    521,880/806,395.50 = 806,395.50/x
  3. Step 3: Cross multiply
    521,880x = 806,395.50 × 806,395.50
  4. Step 4: Simplify right side
    521,880x = 650,273,702,420.25
  5. Step 5: Solve for x
    x = 650,273,702,420.25/521,880
  6. Step 6: Final answer
    x = 1,246,021.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.