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Finding the Third Proportional to 365,530.50 and 815,108.25

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Solution

The third proportional to 365,530.50 and 815,108.25 is: 1,817,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,530.50 : 815,108.25 = 815,108.25 : x
  2. Step 2: Convert to fraction form
    365,530.50/815,108.25 = 815,108.25/x
  3. Step 3: Cross multiply
    365,530.50x = 815,108.25 × 815,108.25
  4. Step 4: Simplify right side
    365,530.50x = 664,401,459,218.06
  5. Step 5: Solve for x
    x = 664,401,459,218.06/365,530.50
  6. Step 6: Final answer
    x = 1,817,636.17

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.