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Finding the Third Proportional to 554,474 and 835,653

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Solution

The third proportional to 554,474 and 835,653 is: 1,259,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,474 : 835,653 = 835,653 : x
  2. Step 2: Convert to fraction form
    554,474/835,653 = 835,653/x
  3. Step 3: Cross multiply
    554,474x = 835,653 × 835,653
  4. Step 4: Simplify right side
    554,474x = 698,315,936,409
  5. Step 5: Solve for x
    x = 698,315,936,409/554,474
  6. Step 6: Final answer
    x = 1,259,420.53

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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.