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Finding the Third Proportional to 436,682 and 662,907

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Solution

The third proportional to 436,682 and 662,907 is: 1,006,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,682 : 662,907 = 662,907 : x
  2. Step 2: Convert to fraction form
    436,682/662,907 = 662,907/x
  3. Step 3: Cross multiply
    436,682x = 662,907 × 662,907
  4. Step 4: Simplify right side
    436,682x = 439,445,690,649
  5. Step 5: Solve for x
    x = 439,445,690,649/436,682
  6. Step 6: Final answer
    x = 1,006,328.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.