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Finding the Third Proportional to 360,846.56 and 504,484.88

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Solution

The third proportional to 360,846.56 and 504,484.88 is: 705,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,846.56 : 504,484.88 = 504,484.88 : x
  2. Step 2: Convert to fraction form
    360,846.56/504,484.88 = 504,484.88/x
  3. Step 3: Cross multiply
    360,846.56x = 504,484.88 × 504,484.88
  4. Step 4: Simplify right side
    360,846.56x = 254,504,989,103.77
  5. Step 5: Solve for x
    x = 254,504,989,103.77/360,846.56
  6. Step 6: Final answer
    x = 705,299.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.