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Finding the Third Proportional to 528,976 and 794,616

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Solution

The third proportional to 528,976 and 794,616 is: 1,193,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,976 : 794,616 = 794,616 : x
  2. Step 2: Convert to fraction form
    528,976/794,616 = 794,616/x
  3. Step 3: Cross multiply
    528,976x = 794,616 × 794,616
  4. Step 4: Simplify right side
    528,976x = 631,414,587,456
  5. Step 5: Solve for x
    x = 631,414,587,456/528,976
  6. Step 6: Final answer
    x = 1,193,654.51

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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.