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Finding the Third Proportional to 349,638 and 766,524

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Solution

The third proportional to 349,638 and 766,524 is: 1,680,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,638 : 766,524 = 766,524 : x
  2. Step 2: Convert to fraction form
    349,638/766,524 = 766,524/x
  3. Step 3: Cross multiply
    349,638x = 766,524 × 766,524
  4. Step 4: Simplify right side
    349,638x = 587,559,042,576
  5. Step 5: Solve for x
    x = 587,559,042,576/349,638
  6. Step 6: Final answer
    x = 1,680,478.22

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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.