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Finding the Third Proportional to 365,527.55 and 815,102.30

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Solution

The third proportional to 365,527.55 and 815,102.30 is: 1,817,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,527.55 : 815,102.30 = 815,102.30 : x
  2. Step 2: Convert to fraction form
    365,527.55/815,102.30 = 815,102.30/x
  3. Step 3: Cross multiply
    365,527.55x = 815,102.30 × 815,102.30
  4. Step 4: Simplify right side
    365,527.55x = 664,391,754,370.90
  5. Step 5: Solve for x
    x = 664,391,754,370.90/365,527.55
  6. Step 6: Final answer
    x = 1,817,624.31

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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.