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Finding the Third Proportional to 341,909 and 488,199

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Solution

The third proportional to 341,909 and 488,199 is: 697,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,909 : 488,199 = 488,199 : x
  2. Step 2: Convert to fraction form
    341,909/488,199 = 488,199/x
  3. Step 3: Cross multiply
    341,909x = 488,199 × 488,199
  4. Step 4: Simplify right side
    341,909x = 238,338,263,601
  5. Step 5: Solve for x
    x = 238,338,263,601/341,909
  6. Step 6: Final answer
    x = 697,080.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.