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Finding the Third Proportional to 262,657.69 and 567,136.69

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Solution

The third proportional to 262,657.69 and 567,136.69 is: 1,224,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,657.69 : 567,136.69 = 567,136.69 : x
  2. Step 2: Convert to fraction form
    262,657.69/567,136.69 = 567,136.69/x
  3. Step 3: Cross multiply
    262,657.69x = 567,136.69 × 567,136.69
  4. Step 4: Simplify right side
    262,657.69x = 321,644,022,308.47
  5. Step 5: Solve for x
    x = 321,644,022,308.47/262,657.69
  6. Step 6: Final answer
    x = 1,224,574.94

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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.