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Finding the Third Proportional to 341,907 and 488,196

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Solution

The third proportional to 341,907 and 488,196 is: 697,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,907 : 488,196 = 488,196 : x
  2. Step 2: Convert to fraction form
    341,907/488,196 = 488,196/x
  3. Step 3: Cross multiply
    341,907x = 488,196 × 488,196
  4. Step 4: Simplify right side
    341,907x = 238,335,334,416
  5. Step 5: Solve for x
    x = 238,335,334,416/341,907
  6. Step 6: Final answer
    x = 697,076.50

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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.