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Finding the Third Proportional to 350,906 and 738,481

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Solution

The third proportional to 350,906 and 738,481 is: 1,554,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,906 : 738,481 = 738,481 : x
  2. Step 2: Convert to fraction form
    350,906/738,481 = 738,481/x
  3. Step 3: Cross multiply
    350,906x = 738,481 × 738,481
  4. Step 4: Simplify right side
    350,906x = 545,354,187,361
  5. Step 5: Solve for x
    x = 545,354,187,361/350,906
  6. Step 6: Final answer
    x = 1,554,131.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.