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Finding the Third Proportional to 365,526.50 and 815,099

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Solution

The third proportional to 365,526.50 and 815,099 is: 1,817,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,526.50 : 815,099 = 815,099 : x
  2. Step 2: Convert to fraction form
    365,526.50/815,099 = 815,099/x
  3. Step 3: Cross multiply
    365,526.50x = 815,099 × 815,099
  4. Step 4: Simplify right side
    365,526.50x = 664,386,379,801
  5. Step 5: Solve for x
    x = 664,386,379,801/365,526.50
  6. Step 6: Final answer
    x = 1,817,614.81

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Why These Related Problems?

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