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Finding the Third Proportional to 526,717 and 794,659.50

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Solution

The third proportional to 526,717 and 794,659.50 is: 1,198,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,717 : 794,659.50 = 794,659.50 : x
  2. Step 2: Convert to fraction form
    526,717/794,659.50 = 794,659.50/x
  3. Step 3: Cross multiply
    526,717x = 794,659.50 × 794,659.50
  4. Step 4: Simplify right side
    526,717x = 631,483,720,940.25
  5. Step 5: Solve for x
    x = 631,483,720,940.25/526,717
  6. Step 6: Final answer
    x = 1,198,905.14

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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.