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Finding the Third Proportional to 319,299 and 476,181

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Solution

The third proportional to 319,299 and 476,181 is: 710,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,299 : 476,181 = 476,181 : x
  2. Step 2: Convert to fraction form
    319,299/476,181 = 476,181/x
  3. Step 3: Cross multiply
    319,299x = 476,181 × 476,181
  4. Step 4: Simplify right side
    319,299x = 226,748,344,761
  5. Step 5: Solve for x
    x = 226,748,344,761/319,299
  6. Step 6: Final answer
    x = 710,144.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.