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Finding the Third Proportional to 406,356.75 and 603,672.75

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Solution

The third proportional to 406,356.75 and 603,672.75 is: 896,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,356.75 : 603,672.75 = 603,672.75 : x
  2. Step 2: Convert to fraction form
    406,356.75/603,672.75 = 603,672.75/x
  3. Step 3: Cross multiply
    406,356.75x = 603,672.75 × 603,672.75
  4. Step 4: Simplify right side
    406,356.75x = 364,420,789,092.56
  5. Step 5: Solve for x
    x = 364,420,789,092.56/406,356.75
  6. Step 6: Final answer
    x = 896,800.14

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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.