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Finding the Third Proportional to 208,516 and 446,556

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Solution

The third proportional to 208,516 and 446,556 is: 956,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,516 : 446,556 = 446,556 : x
  2. Step 2: Convert to fraction form
    208,516/446,556 = 446,556/x
  3. Step 3: Cross multiply
    208,516x = 446,556 × 446,556
  4. Step 4: Simplify right side
    208,516x = 199,412,261,136
  5. Step 5: Solve for x
    x = 199,412,261,136/208,516
  6. Step 6: Final answer
    x = 956,340.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.