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Finding the Third Proportional to 352,732 and 740,408

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Solution

The third proportional to 352,732 and 740,408 is: 1,554,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,732 : 740,408 = 740,408 : x
  2. Step 2: Convert to fraction form
    352,732/740,408 = 740,408/x
  3. Step 3: Cross multiply
    352,732x = 740,408 × 740,408
  4. Step 4: Simplify right side
    352,732x = 548,204,006,464
  5. Step 5: Solve for x
    x = 548,204,006,464/352,732
  6. Step 6: Final answer
    x = 1,554,165.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.