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Finding the Third Proportional to 395,243 and 591,779

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Solution

The third proportional to 395,243 and 591,779 is: 886,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,243 : 591,779 = 591,779 : x
  2. Step 2: Convert to fraction form
    395,243/591,779 = 591,779/x
  3. Step 3: Cross multiply
    395,243x = 591,779 × 591,779
  4. Step 4: Simplify right side
    395,243x = 350,202,384,841
  5. Step 5: Solve for x
    x = 350,202,384,841/395,243
  6. Step 6: Final answer
    x = 886,043.23

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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.