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Finding the Third Proportional to 262,326 and 393,492

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Solution

The third proportional to 262,326 and 393,492 is: 590,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,326 : 393,492 = 393,492 : x
  2. Step 2: Convert to fraction form
    262,326/393,492 = 393,492/x
  3. Step 3: Cross multiply
    262,326x = 393,492 × 393,492
  4. Step 4: Simplify right side
    262,326x = 154,835,954,064
  5. Step 5: Solve for x
    x = 154,835,954,064/262,326
  6. Step 6: Final answer
    x = 590,242.50

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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.