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Finding the Third Proportional to 334,148 and 511,806

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Solution

The third proportional to 334,148 and 511,806 is: 783,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,148 : 511,806 = 511,806 : x
  2. Step 2: Convert to fraction form
    334,148/511,806 = 511,806/x
  3. Step 3: Cross multiply
    334,148x = 511,806 × 511,806
  4. Step 4: Simplify right side
    334,148x = 261,945,381,636
  5. Step 5: Solve for x
    x = 261,945,381,636/334,148
  6. Step 6: Final answer
    x = 783,920.24

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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.