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Finding the Third Proportional to 368,758 and 504,664

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Solution

The third proportional to 368,758 and 504,664 is: 690,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,758 : 504,664 = 504,664 : x
  2. Step 2: Convert to fraction form
    368,758/504,664 = 504,664/x
  3. Step 3: Cross multiply
    368,758x = 504,664 × 504,664
  4. Step 4: Simplify right side
    368,758x = 254,685,752,896
  5. Step 5: Solve for x
    x = 254,685,752,896/368,758
  6. Step 6: Final answer
    x = 690,658.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.