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Finding the Third Proportional to 365,623.50 and 815,269.50

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Solution

The third proportional to 365,623.50 and 815,269.50 is: 1,817,892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,623.50 : 815,269.50 = 815,269.50 : x
  2. Step 2: Convert to fraction form
    365,623.50/815,269.50 = 815,269.50/x
  3. Step 3: Cross multiply
    365,623.50x = 815,269.50 × 815,269.50
  4. Step 4: Simplify right side
    365,623.50x = 664,664,357,630.25
  5. Step 5: Solve for x
    x = 664,664,357,630.25/365,623.50
  6. Step 6: Final answer
    x = 1,817,892.88

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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.