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Finding the Third Proportional to 304,233 and 704,274

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Solution

The third proportional to 304,233 and 704,274 is: 1,630,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,233 : 704,274 = 704,274 : x
  2. Step 2: Convert to fraction form
    304,233/704,274 = 704,274/x
  3. Step 3: Cross multiply
    304,233x = 704,274 × 704,274
  4. Step 4: Simplify right side
    304,233x = 496,001,867,076
  5. Step 5: Solve for x
    x = 496,001,867,076/304,233
  6. Step 6: Final answer
    x = 1,630,335.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.