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Finding the Third Proportional to 393,264 and 924,408

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Solution

The third proportional to 393,264 and 924,408 is: 2,172,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,264 : 924,408 = 924,408 : x
  2. Step 2: Convert to fraction form
    393,264/924,408 = 924,408/x
  3. Step 3: Cross multiply
    393,264x = 924,408 × 924,408
  4. Step 4: Simplify right side
    393,264x = 854,530,150,464
  5. Step 5: Solve for x
    x = 854,530,150,464/393,264
  6. Step 6: Final answer
    x = 2,172,917.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.