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Finding the Third Proportional to 393,696 and 924,304

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Solution

The third proportional to 393,696 and 924,304 is: 2,170,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,696 : 924,304 = 924,304 : x
  2. Step 2: Convert to fraction form
    393,696/924,304 = 924,304/x
  3. Step 3: Cross multiply
    393,696x = 924,304 × 924,304
  4. Step 4: Simplify right side
    393,696x = 854,337,884,416
  5. Step 5: Solve for x
    x = 854,337,884,416/393,696
  6. Step 6: Final answer
    x = 2,170,044.61

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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.