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Finding the Third Proportional to 262,340.44 and 393,715.69

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Solution

The third proportional to 262,340.44 and 393,715.69 is: 590,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,340.44 : 393,715.69 = 393,715.69 : x
  2. Step 2: Convert to fraction form
    262,340.44/393,715.69 = 393,715.69/x
  3. Step 3: Cross multiply
    262,340.44x = 393,715.69 × 393,715.69
  4. Step 4: Simplify right side
    262,340.44x = 155,012,042,583.60
  5. Step 5: Solve for x
    x = 155,012,042,583.60/262,340.44
  6. Step 6: Final answer
    x = 590,881.24

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Why These Related Problems?

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