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Finding the Third Proportional to 603,381 and 894,634

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Solution

The third proportional to 603,381 and 894,634 is: 1,326,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,381 : 894,634 = 894,634 : x
  2. Step 2: Convert to fraction form
    603,381/894,634 = 894,634/x
  3. Step 3: Cross multiply
    603,381x = 894,634 × 894,634
  4. Step 4: Simplify right side
    603,381x = 800,369,993,956
  5. Step 5: Solve for x
    x = 800,369,993,956/603,381
  6. Step 6: Final answer
    x = 1,326,475.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.