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Finding the Third Proportional to 263,327 and 376,297

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Solution

The third proportional to 263,327 and 376,297 is: 537,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,327 : 376,297 = 376,297 : x
  2. Step 2: Convert to fraction form
    263,327/376,297 = 376,297/x
  3. Step 3: Cross multiply
    263,327x = 376,297 × 376,297
  4. Step 4: Simplify right side
    263,327x = 141,599,432,209
  5. Step 5: Solve for x
    x = 141,599,432,209/263,327
  6. Step 6: Final answer
    x = 537,732.30

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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.