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Finding the Third Proportional to 336,647 and 736,645

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Solution

The third proportional to 336,647 and 736,645 is: 1,611,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,647 : 736,645 = 736,645 : x
  2. Step 2: Convert to fraction form
    336,647/736,645 = 736,645/x
  3. Step 3: Cross multiply
    336,647x = 736,645 × 736,645
  4. Step 4: Simplify right side
    336,647x = 542,645,856,025
  5. Step 5: Solve for x
    x = 542,645,856,025/336,647
  6. Step 6: Final answer
    x = 1,611,913.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.