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Finding the Third Proportional to 406,474.45 and 603,817.03

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Solution

The third proportional to 406,474.45 and 603,817.03 is: 896,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,474.45 : 603,817.03 = 603,817.03 : x
  2. Step 2: Convert to fraction form
    406,474.45/603,817.03 = 603,817.03/x
  3. Step 3: Cross multiply
    406,474.45x = 603,817.03 × 603,817.03
  4. Step 4: Simplify right side
    406,474.45x = 364,595,007,227.56
  5. Step 5: Solve for x
    x = 364,595,007,227.56/406,474.45
  6. Step 6: Final answer
    x = 896,969.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.