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Finding the Third Proportional to 351,844 and 545,036

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Solution

The third proportional to 351,844 and 545,036 is: 844,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,844 : 545,036 = 545,036 : x
  2. Step 2: Convert to fraction form
    351,844/545,036 = 545,036/x
  3. Step 3: Cross multiply
    351,844x = 545,036 × 545,036
  4. Step 4: Simplify right side
    351,844x = 297,064,241,296
  5. Step 5: Solve for x
    x = 297,064,241,296/351,844
  6. Step 6: Final answer
    x = 844,306.69

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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.