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Finding the Third Proportional to 336,108 and 738,468

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Solution

The third proportional to 336,108 and 738,468 is: 1,622,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,108 : 738,468 = 738,468 : x
  2. Step 2: Convert to fraction form
    336,108/738,468 = 738,468/x
  3. Step 3: Cross multiply
    336,108x = 738,468 × 738,468
  4. Step 4: Simplify right side
    336,108x = 545,334,987,024
  5. Step 5: Solve for x
    x = 545,334,987,024/336,108
  6. Step 6: Final answer
    x = 1,622,499.28

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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.