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Finding the Third Proportional to 353,011 and 773,408

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Solution

The third proportional to 353,011 and 773,408 is: 1,694,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,011 : 773,408 = 773,408 : x
  2. Step 2: Convert to fraction form
    353,011/773,408 = 773,408/x
  3. Step 3: Cross multiply
    353,011x = 773,408 × 773,408
  4. Step 4: Simplify right side
    353,011x = 598,159,934,464
  5. Step 5: Solve for x
    x = 598,159,934,464/353,011
  6. Step 6: Final answer
    x = 1,694,451.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.