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Finding the Third Proportional to 262,008.50 and 561,371.50

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Solution

The third proportional to 262,008.50 and 561,371.50 is: 1,202,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,008.50 : 561,371.50 = 561,371.50 : x
  2. Step 2: Convert to fraction form
    262,008.50/561,371.50 = 561,371.50/x
  3. Step 3: Cross multiply
    262,008.50x = 561,371.50 × 561,371.50
  4. Step 4: Simplify right side
    262,008.50x = 315,137,961,012.25
  5. Step 5: Solve for x
    x = 315,137,961,012.25/262,008.50
  6. Step 6: Final answer
    x = 1,202,777.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.