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Finding the Third Proportional to 336,644 and 737,674

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Solution

The third proportional to 336,644 and 737,674 is: 1,616,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,644 : 737,674 = 737,674 : x
  2. Step 2: Convert to fraction form
    336,644/737,674 = 737,674/x
  3. Step 3: Cross multiply
    336,644x = 737,674 × 737,674
  4. Step 4: Simplify right side
    336,644x = 544,162,930,276
  5. Step 5: Solve for x
    x = 544,162,930,276/336,644
  6. Step 6: Final answer
    x = 1,616,434.36

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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.