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Finding the Third Proportional to 542,052 and 793,638

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Solution

The third proportional to 542,052 and 793,638 is: 1,161,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,052 : 793,638 = 793,638 : x
  2. Step 2: Convert to fraction form
    542,052/793,638 = 793,638/x
  3. Step 3: Cross multiply
    542,052x = 793,638 × 793,638
  4. Step 4: Simplify right side
    542,052x = 629,861,275,044
  5. Step 5: Solve for x
    x = 629,861,275,044/542,052
  6. Step 6: Final answer
    x = 1,161,994.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.