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Finding the Third Proportional to 234,324 and 511,416

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Solution

The third proportional to 234,324 and 511,416 is: 1,116,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,324 : 511,416 = 511,416 : x
  2. Step 2: Convert to fraction form
    234,324/511,416 = 511,416/x
  3. Step 3: Cross multiply
    234,324x = 511,416 × 511,416
  4. Step 4: Simplify right side
    234,324x = 261,546,325,056
  5. Step 5: Solve for x
    x = 261,546,325,056/234,324
  6. Step 6: Final answer
    x = 1,116,173.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.