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Finding the Third Proportional to 566,968 and 853,016

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Solution

The third proportional to 566,968 and 853,016 is: 1,283,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,968 : 853,016 = 853,016 : x
  2. Step 2: Convert to fraction form
    566,968/853,016 = 853,016/x
  3. Step 3: Cross multiply
    566,968x = 853,016 × 853,016
  4. Step 4: Simplify right side
    566,968x = 727,636,296,256
  5. Step 5: Solve for x
    x = 727,636,296,256/566,968
  6. Step 6: Final answer
    x = 1,283,381.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.