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Finding the Third Proportional to 333,148 and 511,756

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Solution

The third proportional to 333,148 and 511,756 is: 786,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,148 : 511,756 = 511,756 : x
  2. Step 2: Convert to fraction form
    333,148/511,756 = 511,756/x
  3. Step 3: Cross multiply
    333,148x = 511,756 × 511,756
  4. Step 4: Simplify right side
    333,148x = 261,894,203,536
  5. Step 5: Solve for x
    x = 261,894,203,536/333,148
  6. Step 6: Final answer
    x = 786,119.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.