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Finding the Third Proportional to 358,344 and 502,272

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Solution

The third proportional to 358,344 and 502,272 is: 704,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,344 : 502,272 = 502,272 : x
  2. Step 2: Convert to fraction form
    358,344/502,272 = 502,272/x
  3. Step 3: Cross multiply
    358,344x = 502,272 × 502,272
  4. Step 4: Simplify right side
    358,344x = 252,277,161,984
  5. Step 5: Solve for x
    x = 252,277,161,984/358,344
  6. Step 6: Final answer
    x = 704,008.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.