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Finding the Third Proportional to 325,465.50 and 685,923

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Solution

The third proportional to 325,465.50 and 685,923 is: 1,445,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,465.50 : 685,923 = 685,923 : x
  2. Step 2: Convert to fraction form
    325,465.50/685,923 = 685,923/x
  3. Step 3: Cross multiply
    325,465.50x = 685,923 × 685,923
  4. Step 4: Simplify right side
    325,465.50x = 470,490,361,929
  5. Step 5: Solve for x
    x = 470,490,361,929/325,465.50
  6. Step 6: Final answer
    x = 1,445,592.12

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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.