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Finding the Third Proportional to 353,922 and 770,044

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Solution

The third proportional to 353,922 and 770,044 is: 1,675,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,922 : 770,044 = 770,044 : x
  2. Step 2: Convert to fraction form
    353,922/770,044 = 770,044/x
  3. Step 3: Cross multiply
    353,922x = 770,044 × 770,044
  4. Step 4: Simplify right side
    353,922x = 592,967,761,936
  5. Step 5: Solve for x
    x = 592,967,761,936/353,922
  6. Step 6: Final answer
    x = 1,675,419.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.