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Finding the Third Proportional to 264,608 and 385,232

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Solution

The third proportional to 264,608 and 385,232 is: 560,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,608 : 385,232 = 385,232 : x
  2. Step 2: Convert to fraction form
    264,608/385,232 = 385,232/x
  3. Step 3: Cross multiply
    264,608x = 385,232 × 385,232
  4. Step 4: Simplify right side
    264,608x = 148,403,693,824
  5. Step 5: Solve for x
    x = 148,403,693,824/264,608
  6. Step 6: Final answer
    x = 560,843.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.