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Finding the Third Proportional to 334,824 and 496,444

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Solution

The third proportional to 334,824 and 496,444 is: 736,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,824 : 496,444 = 496,444 : x
  2. Step 2: Convert to fraction form
    334,824/496,444 = 496,444/x
  3. Step 3: Cross multiply
    334,824x = 496,444 × 496,444
  4. Step 4: Simplify right side
    334,824x = 246,456,645,136
  5. Step 5: Solve for x
    x = 246,456,645,136/334,824
  6. Step 6: Final answer
    x = 736,078.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.