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Finding the Third Proportional to 526,653 and 794,632

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Solution

The third proportional to 526,653 and 794,632 is: 1,198,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,653 : 794,632 = 794,632 : x
  2. Step 2: Convert to fraction form
    526,653/794,632 = 794,632/x
  3. Step 3: Cross multiply
    526,653x = 794,632 × 794,632
  4. Step 4: Simplify right side
    526,653x = 631,440,015,424
  5. Step 5: Solve for x
    x = 631,440,015,424/526,653
  6. Step 6: Final answer
    x = 1,198,967.85

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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.