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Finding the Third Proportional to 319,256 and 478,006

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Solution

The third proportional to 319,256 and 478,006 is: 715,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,256 : 478,006 = 478,006 : x
  2. Step 2: Convert to fraction form
    319,256/478,006 = 478,006/x
  3. Step 3: Cross multiply
    319,256x = 478,006 × 478,006
  4. Step 4: Simplify right side
    319,256x = 228,489,736,036
  5. Step 5: Solve for x
    x = 228,489,736,036/319,256
  6. Step 6: Final answer
    x = 715,694.41

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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.