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Finding the Third Proportional to 371,016 and 563,616

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Solution

The third proportional to 371,016 and 563,616 is: 856,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,016 : 563,616 = 563,616 : x
  2. Step 2: Convert to fraction form
    371,016/563,616 = 563,616/x
  3. Step 3: Cross multiply
    371,016x = 563,616 × 563,616
  4. Step 4: Simplify right side
    371,016x = 317,662,995,456
  5. Step 5: Solve for x
    x = 317,662,995,456/371,016
  6. Step 6: Final answer
    x = 856,197.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.