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Finding the Third Proportional to 262,894 and 393,894

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Solution

The third proportional to 262,894 and 393,894 is: 590,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,894 : 393,894 = 393,894 : x
  2. Step 2: Convert to fraction form
    262,894/393,894 = 393,894/x
  3. Step 3: Cross multiply
    262,894x = 393,894 × 393,894
  4. Step 4: Simplify right side
    262,894x = 155,152,483,236
  5. Step 5: Solve for x
    x = 155,152,483,236/262,894
  6. Step 6: Final answer
    x = 590,171.26

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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.