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Finding the Third Proportional to 319,094 and 472,334

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Solution

The third proportional to 319,094 and 472,334 is: 699,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,094 : 472,334 = 472,334 : x
  2. Step 2: Convert to fraction form
    319,094/472,334 = 472,334/x
  3. Step 3: Cross multiply
    319,094x = 472,334 × 472,334
  4. Step 4: Simplify right side
    319,094x = 223,099,407,556
  5. Step 5: Solve for x
    x = 223,099,407,556/319,094
  6. Step 6: Final answer
    x = 699,165.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.