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Finding the Third Proportional to 336,104 and 738,460

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Solution

The third proportional to 336,104 and 738,460 is: 1,622,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,104 : 738,460 = 738,460 : x
  2. Step 2: Convert to fraction form
    336,104/738,460 = 738,460/x
  3. Step 3: Cross multiply
    336,104x = 738,460 × 738,460
  4. Step 4: Simplify right side
    336,104x = 545,323,171,600
  5. Step 5: Solve for x
    x = 545,323,171,600/336,104
  6. Step 6: Final answer
    x = 1,622,483.43

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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.