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Finding the Third Proportional to 260,684 and 403,006

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Solution

The third proportional to 260,684 and 403,006 is: 623,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,684 : 403,006 = 403,006 : x
  2. Step 2: Convert to fraction form
    260,684/403,006 = 403,006/x
  3. Step 3: Cross multiply
    260,684x = 403,006 × 403,006
  4. Step 4: Simplify right side
    260,684x = 162,413,836,036
  5. Step 5: Solve for x
    x = 162,413,836,036/260,684
  6. Step 6: Final answer
    x = 623,029.55

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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.