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Finding the Third Proportional to 351,837 and 544,968

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Solution

The third proportional to 351,837 and 544,968 is: 844,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,837 : 544,968 = 544,968 : x
  2. Step 2: Convert to fraction form
    351,837/544,968 = 544,968/x
  3. Step 3: Cross multiply
    351,837x = 544,968 × 544,968
  4. Step 4: Simplify right side
    351,837x = 296,990,121,024
  5. Step 5: Solve for x
    x = 296,990,121,024/351,837
  6. Step 6: Final answer
    x = 844,112.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.