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Finding the Third Proportional to 494,937 and 771,984

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Solution

The third proportional to 494,937 and 771,984 is: 1,204,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,937 : 771,984 = 771,984 : x
  2. Step 2: Convert to fraction form
    494,937/771,984 = 771,984/x
  3. Step 3: Cross multiply
    494,937x = 771,984 × 771,984
  4. Step 4: Simplify right side
    494,937x = 595,959,296,256
  5. Step 5: Solve for x
    x = 595,959,296,256/494,937
  6. Step 6: Final answer
    x = 1,204,111.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.