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Finding the Third Proportional to 526,655 and 794,635

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Solution

The third proportional to 526,655 and 794,635 is: 1,198,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,655 : 794,635 = 794,635 : x
  2. Step 2: Convert to fraction form
    526,655/794,635 = 794,635/x
  3. Step 3: Cross multiply
    526,655x = 794,635 × 794,635
  4. Step 4: Simplify right side
    526,655x = 631,444,783,225
  5. Step 5: Solve for x
    x = 631,444,783,225/526,655
  6. Step 6: Final answer
    x = 1,198,972.35

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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.