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Finding the Third Proportional to 260,288.44 and 393,710.63

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Solution

The third proportional to 260,288.44 and 393,710.63 is: 595,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,288.44 : 393,710.63 = 393,710.63 : x
  2. Step 2: Convert to fraction form
    260,288.44/393,710.63 = 393,710.63/x
  3. Step 3: Cross multiply
    260,288.44x = 393,710.63 × 393,710.63
  4. Step 4: Simplify right side
    260,288.44x = 155,008,056,237.89
  5. Step 5: Solve for x
    x = 155,008,056,237.89/260,288.44
  6. Step 6: Final answer
    x = 595,524.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.