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Finding the Third Proportional to 383,659.03 and 595,729.69

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Solution

The third proportional to 383,659.03 and 595,729.69 is: 925,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,659.03 : 595,729.69 = 595,729.69 : x
  2. Step 2: Convert to fraction form
    383,659.03/595,729.69 = 595,729.69/x
  3. Step 3: Cross multiply
    383,659.03x = 595,729.69 × 595,729.69
  4. Step 4: Simplify right side
    383,659.03x = 354,893,860,568.85
  5. Step 5: Solve for x
    x = 354,893,860,568.85/383,659.03
  6. Step 6: Final answer
    x = 925,024.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.