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Finding the Third Proportional to 315,426 and 672,144

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Solution

The third proportional to 315,426 and 672,144 is: 1,432,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,426 : 672,144 = 672,144 : x
  2. Step 2: Convert to fraction form
    315,426/672,144 = 672,144/x
  3. Step 3: Cross multiply
    315,426x = 672,144 × 672,144
  4. Step 4: Simplify right side
    315,426x = 451,777,556,736
  5. Step 5: Solve for x
    x = 451,777,556,736/315,426
  6. Step 6: Final answer
    x = 1,432,277.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.