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Finding the Third Proportional to 515,974.50 and 796,965.75

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Solution

The third proportional to 515,974.50 and 796,965.75 is: 1,230,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,974.50 : 796,965.75 = 796,965.75 : x
  2. Step 2: Convert to fraction form
    515,974.50/796,965.75 = 796,965.75/x
  3. Step 3: Cross multiply
    515,974.50x = 796,965.75 × 796,965.75
  4. Step 4: Simplify right side
    515,974.50x = 635,154,406,673.06
  5. Step 5: Solve for x
    x = 635,154,406,673.06/515,974.50
  6. Step 6: Final answer
    x = 1,230,980.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.