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Finding the Third Proportional to 594,125 and 894,027

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Solution

The third proportional to 594,125 and 894,027 is: 1,345,313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,125 : 894,027 = 894,027 : x
  2. Step 2: Convert to fraction form
    594,125/894,027 = 894,027/x
  3. Step 3: Cross multiply
    594,125x = 894,027 × 894,027
  4. Step 4: Simplify right side
    594,125x = 799,284,276,729
  5. Step 5: Solve for x
    x = 799,284,276,729/594,125
  6. Step 6: Final answer
    x = 1,345,313.32

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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.