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Finding the Third Proportional to 263,427 and 376,431

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Solution

The third proportional to 263,427 and 376,431 is: 537,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,427 : 376,431 = 376,431 : x
  2. Step 2: Convert to fraction form
    263,427/376,431 = 376,431/x
  3. Step 3: Cross multiply
    263,427x = 376,431 × 376,431
  4. Step 4: Simplify right side
    263,427x = 141,700,297,761
  5. Step 5: Solve for x
    x = 141,700,297,761/263,427
  6. Step 6: Final answer
    x = 537,911.06

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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.