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Finding the Third Proportional to 336,257 and 738,123

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Solution

The third proportional to 336,257 and 738,123 is: 1,620,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,257 : 738,123 = 738,123 : x
  2. Step 2: Convert to fraction form
    336,257/738,123 = 738,123/x
  3. Step 3: Cross multiply
    336,257x = 738,123 × 738,123
  4. Step 4: Simplify right side
    336,257x = 544,825,563,129
  5. Step 5: Solve for x
    x = 544,825,563,129/336,257
  6. Step 6: Final answer
    x = 1,620,265.34

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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.