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Finding the Third Proportional to 528,108 and 794,694

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Solution

The third proportional to 528,108 and 794,694 is: 1,195,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,108 : 794,694 = 794,694 : x
  2. Step 2: Convert to fraction form
    528,108/794,694 = 794,694/x
  3. Step 3: Cross multiply
    528,108x = 794,694 × 794,694
  4. Step 4: Simplify right side
    528,108x = 631,538,553,636
  5. Step 5: Solve for x
    x = 631,538,553,636/528,108
  6. Step 6: Final answer
    x = 1,195,851.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.