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Finding the Third Proportional to 208,609 and 428,276.50

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Solution

The third proportional to 208,609 and 428,276.50 is: 879,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,609 : 428,276.50 = 428,276.50 : x
  2. Step 2: Convert to fraction form
    208,609/428,276.50 = 428,276.50/x
  3. Step 3: Cross multiply
    208,609x = 428,276.50 × 428,276.50
  4. Step 4: Simplify right side
    208,609x = 183,420,760,452.25
  5. Step 5: Solve for x
    x = 183,420,760,452.25/208,609
  6. Step 6: Final answer
    x = 879,256.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.