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Finding the Third Proportional to 364,971 and 488,199

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Solution

The third proportional to 364,971 and 488,199 is: 653,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,971 : 488,199 = 488,199 : x
  2. Step 2: Convert to fraction form
    364,971/488,199 = 488,199/x
  3. Step 3: Cross multiply
    364,971x = 488,199 × 488,199
  4. Step 4: Simplify right side
    364,971x = 238,338,263,601
  5. Step 5: Solve for x
    x = 238,338,263,601/364,971
  6. Step 6: Final answer
    x = 653,033.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.