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Finding the Third Proportional to 262,728 and 546,425

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Solution

The third proportional to 262,728 and 546,425 is: 1,136,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,728 : 546,425 = 546,425 : x
  2. Step 2: Convert to fraction form
    262,728/546,425 = 546,425/x
  3. Step 3: Cross multiply
    262,728x = 546,425 × 546,425
  4. Step 4: Simplify right side
    262,728x = 298,580,280,625
  5. Step 5: Solve for x
    x = 298,580,280,625/262,728
  6. Step 6: Final answer
    x = 1,136,461.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.