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Finding the Third Proportional to 365,527.50 and 815,101

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Solution

The third proportional to 365,527.50 and 815,101 is: 1,817,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,527.50 : 815,101 = 815,101 : x
  2. Step 2: Convert to fraction form
    365,527.50/815,101 = 815,101/x
  3. Step 3: Cross multiply
    365,527.50x = 815,101 × 815,101
  4. Step 4: Simplify right side
    365,527.50x = 664,389,640,201
  5. Step 5: Solve for x
    x = 664,389,640,201/365,527.50
  6. Step 6: Final answer
    x = 1,817,618.76

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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.