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Finding the Third Proportional to 263,315 and 376,279

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Solution

The third proportional to 263,315 and 376,279 is: 537,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,315 : 376,279 = 376,279 : x
  2. Step 2: Convert to fraction form
    263,315/376,279 = 376,279/x
  3. Step 3: Cross multiply
    263,315x = 376,279 × 376,279
  4. Step 4: Simplify right side
    263,315x = 141,585,885,841
  5. Step 5: Solve for x
    x = 141,585,885,841/263,315
  6. Step 6: Final answer
    x = 537,705.36

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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.