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Finding the Third Proportional to 334,144 and 511,800

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Solution

The third proportional to 334,144 and 511,800 is: 783,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,144 : 511,800 = 511,800 : x
  2. Step 2: Convert to fraction form
    334,144/511,800 = 511,800/x
  3. Step 3: Cross multiply
    334,144x = 511,800 × 511,800
  4. Step 4: Simplify right side
    334,144x = 261,939,240,000
  5. Step 5: Solve for x
    x = 261,939,240,000/334,144
  6. Step 6: Final answer
    x = 783,911.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.