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Finding the Third Proportional to 384,961 and 794,313

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Solution

The third proportional to 384,961 and 794,313 is: 1,638,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,961 : 794,313 = 794,313 : x
  2. Step 2: Convert to fraction form
    384,961/794,313 = 794,313/x
  3. Step 3: Cross multiply
    384,961x = 794,313 × 794,313
  4. Step 4: Simplify right side
    384,961x = 630,933,141,969
  5. Step 5: Solve for x
    x = 630,933,141,969/384,961
  6. Step 6: Final answer
    x = 1,638,953.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.