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Finding the Third Proportional to 603,384 and 894,640

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Solution

The third proportional to 603,384 and 894,640 is: 1,326,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,384 : 894,640 = 894,640 : x
  2. Step 2: Convert to fraction form
    603,384/894,640 = 894,640/x
  3. Step 3: Cross multiply
    603,384x = 894,640 × 894,640
  4. Step 4: Simplify right side
    603,384x = 800,380,729,600
  5. Step 5: Solve for x
    x = 800,380,729,600/603,384
  6. Step 6: Final answer
    x = 1,326,486.50

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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.