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Finding the Third Proportional to 338,450 and 735,257

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Solution

The third proportional to 338,450 and 735,257 is: 1,597,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,450 : 735,257 = 735,257 : x
  2. Step 2: Convert to fraction form
    338,450/735,257 = 735,257/x
  3. Step 3: Cross multiply
    338,450x = 735,257 × 735,257
  4. Step 4: Simplify right side
    338,450x = 540,602,856,049
  5. Step 5: Solve for x
    x = 540,602,856,049/338,450
  6. Step 6: Final answer
    x = 1,597,290.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.