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Finding the Third Proportional to 233,777 and 504,463

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Solution

The third proportional to 233,777 and 504,463 is: 1,088,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,777 : 504,463 = 504,463 : x
  2. Step 2: Convert to fraction form
    233,777/504,463 = 504,463/x
  3. Step 3: Cross multiply
    233,777x = 504,463 × 504,463
  4. Step 4: Simplify right side
    233,777x = 254,482,918,369
  5. Step 5: Solve for x
    x = 254,482,918,369/233,777
  6. Step 6: Final answer
    x = 1,088,571.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.