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Finding the Third Proportional to 248,544 and 523,584

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Solution

The third proportional to 248,544 and 523,584 is: 1,102,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,544 : 523,584 = 523,584 : x
  2. Step 2: Convert to fraction form
    248,544/523,584 = 523,584/x
  3. Step 3: Cross multiply
    248,544x = 523,584 × 523,584
  4. Step 4: Simplify right side
    248,544x = 274,140,205,056
  5. Step 5: Solve for x
    x = 274,140,205,056/248,544
  6. Step 6: Final answer
    x = 1,102,984.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.