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Finding the Third Proportional to 603,376 and 894,625

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Solution

The third proportional to 603,376 and 894,625 is: 1,326,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,376 : 894,625 = 894,625 : x
  2. Step 2: Convert to fraction form
    603,376/894,625 = 894,625/x
  3. Step 3: Cross multiply
    603,376x = 894,625 × 894,625
  4. Step 4: Simplify right side
    603,376x = 800,353,890,625
  5. Step 5: Solve for x
    x = 800,353,890,625/603,376
  6. Step 6: Final answer
    x = 1,326,459.60

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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.