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Finding the Third Proportional to 594,168 and 894,100

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Solution

The third proportional to 594,168 and 894,100 is: 1,345,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,168 : 894,100 = 894,100 : x
  2. Step 2: Convert to fraction form
    594,168/894,100 = 894,100/x
  3. Step 3: Cross multiply
    594,168x = 894,100 × 894,100
  4. Step 4: Simplify right side
    594,168x = 799,414,810,000
  5. Step 5: Solve for x
    x = 799,414,810,000/594,168
  6. Step 6: Final answer
    x = 1,345,435.65

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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.