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Finding the Third Proportional to 366,216.75 and 802,255.50

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Solution

The third proportional to 366,216.75 and 802,255.50 is: 1,757,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,216.75 : 802,255.50 = 802,255.50 : x
  2. Step 2: Convert to fraction form
    366,216.75/802,255.50 = 802,255.50/x
  3. Step 3: Cross multiply
    366,216.75x = 802,255.50 × 802,255.50
  4. Step 4: Simplify right side
    366,216.75x = 643,613,887,280.25
  5. Step 5: Solve for x
    x = 643,613,887,280.25/366,216.75
  6. Step 6: Final answer
    x = 1,757,467.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.