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Finding the Third Proportional to 537,954 and 753,930

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Solution

The third proportional to 537,954 and 753,930 is: 1,056,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,954 : 753,930 = 753,930 : x
  2. Step 2: Convert to fraction form
    537,954/753,930 = 753,930/x
  3. Step 3: Cross multiply
    537,954x = 753,930 × 753,930
  4. Step 4: Simplify right side
    537,954x = 568,410,444,900
  5. Step 5: Solve for x
    x = 568,410,444,900/537,954
  6. Step 6: Final answer
    x = 1,056,615.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.