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Finding the Third Proportional to 253,036 and 529,454

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Solution

The third proportional to 253,036 and 529,454 is: 1,107,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,036 : 529,454 = 529,454 : x
  2. Step 2: Convert to fraction form
    253,036/529,454 = 529,454/x
  3. Step 3: Cross multiply
    253,036x = 529,454 × 529,454
  4. Step 4: Simplify right side
    253,036x = 280,321,538,116
  5. Step 5: Solve for x
    x = 280,321,538,116/253,036
  6. Step 6: Final answer
    x = 1,107,832.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.