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Finding the Third Proportional to 289,144.69 and 626,556.94

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Solution

The third proportional to 289,144.69 and 626,556.94 is: 1,357,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,144.69 : 626,556.94 = 626,556.94 : x
  2. Step 2: Convert to fraction form
    289,144.69/626,556.94 = 626,556.94/x
  3. Step 3: Cross multiply
    289,144.69x = 626,556.94 × 626,556.94
  4. Step 4: Simplify right side
    289,144.69x = 392,573,595,929.38
  5. Step 5: Solve for x
    x = 392,573,595,929.38/289,144.69
  6. Step 6: Final answer
    x = 1,357,706.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.