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Finding the Third Proportional to 360,923.50 and 504,578

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Solution

The third proportional to 360,923.50 and 504,578 is: 705,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,923.50 : 504,578 = 504,578 : x
  2. Step 2: Convert to fraction form
    360,923.50/504,578 = 504,578/x
  3. Step 3: Cross multiply
    360,923.50x = 504,578 × 504,578
  4. Step 4: Simplify right side
    360,923.50x = 254,598,958,084
  5. Step 5: Solve for x
    x = 254,598,958,084/360,923.50
  6. Step 6: Final answer
    x = 705,409.76

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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.