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Finding the Third Proportional to 262,883.25 and 393,889.50

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Solution

The third proportional to 262,883.25 and 393,889.50 is: 590,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,883.25 : 393,889.50 = 393,889.50 : x
  2. Step 2: Convert to fraction form
    262,883.25/393,889.50 = 393,889.50/x
  3. Step 3: Cross multiply
    262,883.25x = 393,889.50 × 393,889.50
  4. Step 4: Simplify right side
    262,883.25x = 155,148,938,210.25
  5. Step 5: Solve for x
    x = 155,148,938,210.25/262,883.25
  6. Step 6: Final answer
    x = 590,181.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.