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Finding the Third Proportional to 352,025.50 and 722,713.50

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Solution

The third proportional to 352,025.50 and 722,713.50 is: 1,483,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,025.50 : 722,713.50 = 722,713.50 : x
  2. Step 2: Convert to fraction form
    352,025.50/722,713.50 = 722,713.50/x
  3. Step 3: Cross multiply
    352,025.50x = 722,713.50 × 722,713.50
  4. Step 4: Simplify right side
    352,025.50x = 522,314,803,082.25
  5. Step 5: Solve for x
    x = 522,314,803,082.25/352,025.50
  6. Step 6: Final answer
    x = 1,483,741.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.