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Finding the Third Proportional to 324,884 and 487,326

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Solution

The third proportional to 324,884 and 487,326 is: 730,989

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,884 : 487,326 = 487,326 : x
  2. Step 2: Convert to fraction form
    324,884/487,326 = 487,326/x
  3. Step 3: Cross multiply
    324,884x = 487,326 × 487,326
  4. Step 4: Simplify right side
    324,884x = 237,486,630,276
  5. Step 5: Solve for x
    x = 237,486,630,276/324,884
  6. Step 6: Final answer
    x = 730,989

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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.