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Finding the Third Proportional to 393,298 and 924,493

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Solution

The third proportional to 393,298 and 924,493 is: 2,173,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,298 : 924,493 = 924,493 : x
  2. Step 2: Convert to fraction form
    393,298/924,493 = 924,493/x
  3. Step 3: Cross multiply
    393,298x = 924,493 × 924,493
  4. Step 4: Simplify right side
    393,298x = 854,687,307,049
  5. Step 5: Solve for x
    x = 854,687,307,049/393,298
  6. Step 6: Final answer
    x = 2,173,129.04

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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.