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Finding the Third Proportional to 253,675 and 546,595

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Solution

The third proportional to 253,675 and 546,595 is: 1,177,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,675 : 546,595 = 546,595 : x
  2. Step 2: Convert to fraction form
    253,675/546,595 = 546,595/x
  3. Step 3: Cross multiply
    253,675x = 546,595 × 546,595
  4. Step 4: Simplify right side
    253,675x = 298,766,094,025
  5. Step 5: Solve for x
    x = 298,766,094,025/253,675
  6. Step 6: Final answer
    x = 1,177,751.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.