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Finding the Third Proportional to 334,827 and 735,993

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Solution

The third proportional to 334,827 and 735,993 is: 1,617,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,827 : 735,993 = 735,993 : x
  2. Step 2: Convert to fraction form
    334,827/735,993 = 735,993/x
  3. Step 3: Cross multiply
    334,827x = 735,993 × 735,993
  4. Step 4: Simplify right side
    334,827x = 541,685,696,049
  5. Step 5: Solve for x
    x = 541,685,696,049/334,827
  6. Step 6: Final answer
    x = 1,617,807.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.