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Finding the Third Proportional to 263,318 and 376,284

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Solution

The third proportional to 263,318 and 376,284 is: 537,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,318 : 376,284 = 376,284 : x
  2. Step 2: Convert to fraction form
    263,318/376,284 = 376,284/x
  3. Step 3: Cross multiply
    263,318x = 376,284 × 376,284
  4. Step 4: Simplify right side
    263,318x = 141,589,648,656
  5. Step 5: Solve for x
    x = 141,589,648,656/263,318
  6. Step 6: Final answer
    x = 537,713.52

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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.