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Finding the Third Proportional to 236,499.75 and 512,365.50

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Solution

The third proportional to 236,499.75 and 512,365.50 is: 1,110,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,499.75 : 512,365.50 = 512,365.50 : x
  2. Step 2: Convert to fraction form
    236,499.75/512,365.50 = 512,365.50/x
  3. Step 3: Cross multiply
    236,499.75x = 512,365.50 × 512,365.50
  4. Step 4: Simplify right side
    236,499.75x = 262,518,405,590.25
  5. Step 5: Solve for x
    x = 262,518,405,590.25/236,499.75
  6. Step 6: Final answer
    x = 1,110,015.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.