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Finding the Third Proportional to 470,221 and 704,238

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Solution

The third proportional to 470,221 and 704,238 is: 1,054,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,221 : 704,238 = 704,238 : x
  2. Step 2: Convert to fraction form
    470,221/704,238 = 704,238/x
  3. Step 3: Cross multiply
    470,221x = 704,238 × 704,238
  4. Step 4: Simplify right side
    470,221x = 495,951,160,644
  5. Step 5: Solve for x
    x = 495,951,160,644/470,221
  6. Step 6: Final answer
    x = 1,054,719.29

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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.