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Finding the Third Proportional to 406,480.50 and 603,825

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Solution

The third proportional to 406,480.50 and 603,825 is: 896,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,480.50 : 603,825 = 603,825 : x
  2. Step 2: Convert to fraction form
    406,480.50/603,825 = 603,825/x
  3. Step 3: Cross multiply
    406,480.50x = 603,825 × 603,825
  4. Step 4: Simplify right side
    406,480.50x = 364,604,630,625
  5. Step 5: Solve for x
    x = 364,604,630,625/406,480.50
  6. Step 6: Final answer
    x = 896,979.39

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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.