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Finding the Third Proportional to 526,662 and 794,640

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Solution

The third proportional to 526,662 and 794,640 is: 1,198,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,662 : 794,640 = 794,640 : x
  2. Step 2: Convert to fraction form
    526,662/794,640 = 794,640/x
  3. Step 3: Cross multiply
    526,662x = 794,640 × 794,640
  4. Step 4: Simplify right side
    526,662x = 631,452,729,600
  5. Step 5: Solve for x
    x = 631,452,729,600/526,662
  6. Step 6: Final answer
    x = 1,198,971.50

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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.