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Finding the Third Proportional to 395,464 and 853,136

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Solution

The third proportional to 395,464 and 853,136 is: 1,840,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,464 : 853,136 = 853,136 : x
  2. Step 2: Convert to fraction form
    395,464/853,136 = 853,136/x
  3. Step 3: Cross multiply
    395,464x = 853,136 × 853,136
  4. Step 4: Simplify right side
    395,464x = 727,841,034,496
  5. Step 5: Solve for x
    x = 727,841,034,496/395,464
  6. Step 6: Final answer
    x = 1,840,473.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.