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Finding the Third Proportional to 238,585 and 504,780

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Solution

The third proportional to 238,585 and 504,780 is: 1,067,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,585 : 504,780 = 504,780 : x
  2. Step 2: Convert to fraction form
    238,585/504,780 = 504,780/x
  3. Step 3: Cross multiply
    238,585x = 504,780 × 504,780
  4. Step 4: Simplify right side
    238,585x = 254,802,848,400
  5. Step 5: Solve for x
    x = 254,802,848,400/238,585
  6. Step 6: Final answer
    x = 1,067,975.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.