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Finding the Third Proportional to 594,240 and 894,204

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Solution

The third proportional to 594,240 and 894,204 is: 1,345,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,240 : 894,204 = 894,204 : x
  2. Step 2: Convert to fraction form
    594,240/894,204 = 894,204/x
  3. Step 3: Cross multiply
    594,240x = 894,204 × 894,204
  4. Step 4: Simplify right side
    594,240x = 799,600,793,616
  5. Step 5: Solve for x
    x = 799,600,793,616/594,240
  6. Step 6: Final answer
    x = 1,345,585.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.