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Finding the Third Proportional to 280,358 and 419,373

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Solution

The third proportional to 280,358 and 419,373 is: 627,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,358 : 419,373 = 419,373 : x
  2. Step 2: Convert to fraction form
    280,358/419,373 = 419,373/x
  3. Step 3: Cross multiply
    280,358x = 419,373 × 419,373
  4. Step 4: Simplify right side
    280,358x = 175,873,713,129
  5. Step 5: Solve for x
    x = 175,873,713,129/280,358
  6. Step 6: Final answer
    x = 627,318.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.