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Finding the Third Proportional to 526,668 and 794,649

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Solution

The third proportional to 526,668 and 794,649 is: 1,198,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,668 : 794,649 = 794,649 : x
  2. Step 2: Convert to fraction form
    526,668/794,649 = 794,649/x
  3. Step 3: Cross multiply
    526,668x = 794,649 × 794,649
  4. Step 4: Simplify right side
    526,668x = 631,467,033,201
  5. Step 5: Solve for x
    x = 631,467,033,201/526,668
  6. Step 6: Final answer
    x = 1,198,985.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.