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Finding the Third Proportional to 262,485 and 393,934

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Solution

The third proportional to 262,485 and 393,934 is: 591,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,485 : 393,934 = 393,934 : x
  2. Step 2: Convert to fraction form
    262,485/393,934 = 393,934/x
  3. Step 3: Cross multiply
    262,485x = 393,934 × 393,934
  4. Step 4: Simplify right side
    262,485x = 155,183,996,356
  5. Step 5: Solve for x
    x = 155,183,996,356/262,485
  6. Step 6: Final answer
    x = 591,210.91

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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.