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Finding the Third Proportional to 365,998.50 and 793,090.50

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Solution

The third proportional to 365,998.50 and 793,090.50 is: 1,718,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,998.50 : 793,090.50 = 793,090.50 : x
  2. Step 2: Convert to fraction form
    365,998.50/793,090.50 = 793,090.50/x
  3. Step 3: Cross multiply
    365,998.50x = 793,090.50 × 793,090.50
  4. Step 4: Simplify right side
    365,998.50x = 628,992,541,190.25
  5. Step 5: Solve for x
    x = 628,992,541,190.25/365,998.50
  6. Step 6: Final answer
    x = 1,718,565.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.