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Finding the Third Proportional to 320,508 and 464,226

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Solution

The third proportional to 320,508 and 464,226 is: 672,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,508 : 464,226 = 464,226 : x
  2. Step 2: Convert to fraction form
    320,508/464,226 = 464,226/x
  3. Step 3: Cross multiply
    320,508x = 464,226 × 464,226
  4. Step 4: Simplify right side
    320,508x = 215,505,779,076
  5. Step 5: Solve for x
    x = 215,505,779,076/320,508
  6. Step 6: Final answer
    x = 672,388.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.