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Finding the Third Proportional to 352,380 and 502,326

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Solution

The third proportional to 352,380 and 502,326 is: 716,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,380 : 502,326 = 502,326 : x
  2. Step 2: Convert to fraction form
    352,380/502,326 = 502,326/x
  3. Step 3: Cross multiply
    352,380x = 502,326 × 502,326
  4. Step 4: Simplify right side
    352,380x = 252,331,410,276
  5. Step 5: Solve for x
    x = 252,331,410,276/352,380
  6. Step 6: Final answer
    x = 716,077.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.