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Finding the Third Proportional to 383,544.75 and 575,029

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Solution

The third proportional to 383,544.75 and 575,029 is: 862,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,544.75 : 575,029 = 575,029 : x
  2. Step 2: Convert to fraction form
    383,544.75/575,029 = 575,029/x
  3. Step 3: Cross multiply
    383,544.75x = 575,029 × 575,029
  4. Step 4: Simplify right side
    383,544.75x = 330,658,350,841
  5. Step 5: Solve for x
    x = 330,658,350,841/383,544.75
  6. Step 6: Final answer
    x = 862,111.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.