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Finding the Third Proportional to 383,104.69 and 574,657.03

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Solution

The third proportional to 383,104.69 and 574,657.03 is: 861,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,104.69 : 574,657.03 = 574,657.03 : x
  2. Step 2: Convert to fraction form
    383,104.69/574,657.03 = 574,657.03/x
  3. Step 3: Cross multiply
    383,104.69x = 574,657.03 × 574,657.03
  4. Step 4: Simplify right side
    383,104.69x = 330,230,703,565.06
  5. Step 5: Solve for x
    x = 330,230,703,565.06/383,104.69
  6. Step 6: Final answer
    x = 861,985.55

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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.