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Finding the Third Proportional to 496,658 and 743,009

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Solution

The third proportional to 496,658 and 743,009 is: 1,111,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,658 : 743,009 = 743,009 : x
  2. Step 2: Convert to fraction form
    496,658/743,009 = 743,009/x
  3. Step 3: Cross multiply
    496,658x = 743,009 × 743,009
  4. Step 4: Simplify right side
    496,658x = 552,062,374,081
  5. Step 5: Solve for x
    x = 552,062,374,081/496,658
  6. Step 6: Final answer
    x = 1,111,554.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.