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Finding the Third Proportional to 337,410 and 733,868

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Solution

The third proportional to 337,410 and 733,868 is: 1,596,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,410 : 733,868 = 733,868 : x
  2. Step 2: Convert to fraction form
    337,410/733,868 = 733,868/x
  3. Step 3: Cross multiply
    337,410x = 733,868 × 733,868
  4. Step 4: Simplify right side
    337,410x = 538,562,241,424
  5. Step 5: Solve for x
    x = 538,562,241,424/337,410
  6. Step 6: Final answer
    x = 1,596,165.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.