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Finding the Third Proportional to 238,216 and 504,080

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Solution

The third proportional to 238,216 and 504,080 is: 1,066,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,216 : 504,080 = 504,080 : x
  2. Step 2: Convert to fraction form
    238,216/504,080 = 504,080/x
  3. Step 3: Cross multiply
    238,216x = 504,080 × 504,080
  4. Step 4: Simplify right side
    238,216x = 254,096,646,400
  5. Step 5: Solve for x
    x = 254,096,646,400/238,216
  6. Step 6: Final answer
    x = 1,066,664.90

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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.