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Finding the Third Proportional to 356,872 and 743,345

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Solution

The third proportional to 356,872 and 743,345 is: 1,548,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,872 : 743,345 = 743,345 : x
  2. Step 2: Convert to fraction form
    356,872/743,345 = 743,345/x
  3. Step 3: Cross multiply
    356,872x = 743,345 × 743,345
  4. Step 4: Simplify right side
    356,872x = 552,561,789,025
  5. Step 5: Solve for x
    x = 552,561,789,025/356,872
  6. Step 6: Final answer
    x = 1,548,347.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.