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Finding the Third Proportional to 238,480.50 and 504,568.50

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Solution

The third proportional to 238,480.50 and 504,568.50 is: 1,067,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,480.50 : 504,568.50 = 504,568.50 : x
  2. Step 2: Convert to fraction form
    238,480.50/504,568.50 = 504,568.50/x
  3. Step 3: Cross multiply
    238,480.50x = 504,568.50 × 504,568.50
  4. Step 4: Simplify right side
    238,480.50x = 254,589,371,192.25
  5. Step 5: Solve for x
    x = 254,589,371,192.25/238,480.50
  6. Step 6: Final answer
    x = 1,067,547.96

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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.