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Finding the Third Proportional to 235,429.50 and 504,069

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Solution

The third proportional to 235,429.50 and 504,069 is: 1,079,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429.50 : 504,069 = 504,069 : x
  2. Step 2: Convert to fraction form
    235,429.50/504,069 = 504,069/x
  3. Step 3: Cross multiply
    235,429.50x = 504,069 × 504,069
  4. Step 4: Simplify right side
    235,429.50x = 254,085,556,761
  5. Step 5: Solve for x
    x = 254,085,556,761/235,429.50
  6. Step 6: Final answer
    x = 1,079,242.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.