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Finding the Third Proportional to 239,322 and 504,787

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Solution

The third proportional to 239,322 and 504,787 is: 1,064,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,322 : 504,787 = 504,787 : x
  2. Step 2: Convert to fraction form
    239,322/504,787 = 504,787/x
  3. Step 3: Cross multiply
    239,322x = 504,787 × 504,787
  4. Step 4: Simplify right side
    239,322x = 254,809,915,369
  5. Step 5: Solve for x
    x = 254,809,915,369/239,322
  6. Step 6: Final answer
    x = 1,064,715.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.