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Finding the Third Proportional to 491,965 and 739,466

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Solution

The third proportional to 491,965 and 739,466 is: 1,111,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,965 : 739,466 = 739,466 : x
  2. Step 2: Convert to fraction form
    491,965/739,466 = 739,466/x
  3. Step 3: Cross multiply
    491,965x = 739,466 × 739,466
  4. Step 4: Simplify right side
    491,965x = 546,809,965,156
  5. Step 5: Solve for x
    x = 546,809,965,156/491,965
  6. Step 6: Final answer
    x = 1,111,481.44

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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.