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Finding the Third Proportional to 594,245 and 894,213

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Solution

The third proportional to 594,245 and 894,213 is: 1,345,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,245 : 894,213 = 894,213 : x
  2. Step 2: Convert to fraction form
    594,245/894,213 = 894,213/x
  3. Step 3: Cross multiply
    594,245x = 894,213 × 894,213
  4. Step 4: Simplify right side
    594,245x = 799,616,889,369
  5. Step 5: Solve for x
    x = 799,616,889,369/594,245
  6. Step 6: Final answer
    x = 1,345,601.38

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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.