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Finding the Third Proportional to 381,996 and 795,384.56

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Solution

The third proportional to 381,996 and 795,384.56 is: 1,656,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,996 : 795,384.56 = 795,384.56 : x
  2. Step 2: Convert to fraction form
    381,996/795,384.56 = 795,384.56/x
  3. Step 3: Cross multiply
    381,996x = 795,384.56 × 795,384.56
  4. Step 4: Simplify right side
    381,996x = 632,636,602,263.32
  5. Step 5: Solve for x
    x = 632,636,602,263.32/381,996
  6. Step 6: Final answer
    x = 1,656,134.10

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.