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Finding the Third Proportional to 253,824 and 601,323

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Solution

The third proportional to 253,824 and 601,323 is: 1,424,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,824 : 601,323 = 601,323 : x
  2. Step 2: Convert to fraction form
    253,824/601,323 = 601,323/x
  3. Step 3: Cross multiply
    253,824x = 601,323 × 601,323
  4. Step 4: Simplify right side
    253,824x = 361,589,350,329
  5. Step 5: Solve for x
    x = 361,589,350,329/253,824
  6. Step 6: Final answer
    x = 1,424,567.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.