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Finding the Third Proportional to 366,867 and 794,778

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Solution

The third proportional to 366,867 and 794,778 is: 1,721,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,867 : 794,778 = 794,778 : x
  2. Step 2: Convert to fraction form
    366,867/794,778 = 794,778/x
  3. Step 3: Cross multiply
    366,867x = 794,778 × 794,778
  4. Step 4: Simplify right side
    366,867x = 631,672,069,284
  5. Step 5: Solve for x
    x = 631,672,069,284/366,867
  6. Step 6: Final answer
    x = 1,721,801.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.