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Finding the Third Proportional to 406,489.50 and 603,857.25

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Solution

The third proportional to 406,489.50 and 603,857.25 is: 897,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,489.50 : 603,857.25 = 603,857.25 : x
  2. Step 2: Convert to fraction form
    406,489.50/603,857.25 = 603,857.25/x
  3. Step 3: Cross multiply
    406,489.50x = 603,857.25 × 603,857.25
  4. Step 4: Simplify right side
    406,489.50x = 364,643,578,377.56
  5. Step 5: Solve for x
    x = 364,643,578,377.56/406,489.50
  6. Step 6: Final answer
    x = 897,055.34

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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.