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Finding the Third Proportional to 233,751.50 and 504,408

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Solution

The third proportional to 233,751.50 and 504,408 is: 1,088,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,751.50 : 504,408 = 504,408 : x
  2. Step 2: Convert to fraction form
    233,751.50/504,408 = 504,408/x
  3. Step 3: Cross multiply
    233,751.50x = 504,408 × 504,408
  4. Step 4: Simplify right side
    233,751.50x = 254,427,430,464
  5. Step 5: Solve for x
    x = 254,427,430,464/233,751.50
  6. Step 6: Final answer
    x = 1,088,452.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.