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Finding the Third Proportional to 344,774 and 729,292

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Solution

The third proportional to 344,774 and 729,292 is: 1,542,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,774 : 729,292 = 729,292 : x
  2. Step 2: Convert to fraction form
    344,774/729,292 = 729,292/x
  3. Step 3: Cross multiply
    344,774x = 729,292 × 729,292
  4. Step 4: Simplify right side
    344,774x = 531,866,821,264
  5. Step 5: Solve for x
    x = 531,866,821,264/344,774
  6. Step 6: Final answer
    x = 1,542,653.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.