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Finding the Third Proportional to 338,882 and 733,556

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Solution

The third proportional to 338,882 and 733,556 is: 1,587,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,882 : 733,556 = 733,556 : x
  2. Step 2: Convert to fraction form
    338,882/733,556 = 733,556/x
  3. Step 3: Cross multiply
    338,882x = 733,556 × 733,556
  4. Step 4: Simplify right side
    338,882x = 538,104,405,136
  5. Step 5: Solve for x
    x = 538,104,405,136/338,882
  6. Step 6: Final answer
    x = 1,587,881.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.