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Finding the Third Proportional to 248,548 and 523,592

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Solution

The third proportional to 248,548 and 523,592 is: 1,103,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,548 : 523,592 = 523,592 : x
  2. Step 2: Convert to fraction form
    248,548/523,592 = 523,592/x
  3. Step 3: Cross multiply
    248,548x = 523,592 × 523,592
  4. Step 4: Simplify right side
    248,548x = 274,148,582,464
  5. Step 5: Solve for x
    x = 274,148,582,464/248,548
  6. Step 6: Final answer
    x = 1,103,000.56

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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.