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Finding the Third Proportional to 356,450 and 766,468

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Solution

The third proportional to 356,450 and 766,468 is: 1,648,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,450 : 766,468 = 766,468 : x
  2. Step 2: Convert to fraction form
    356,450/766,468 = 766,468/x
  3. Step 3: Cross multiply
    356,450x = 766,468 × 766,468
  4. Step 4: Simplify right side
    356,450x = 587,473,195,024
  5. Step 5: Solve for x
    x = 587,473,195,024/356,450
  6. Step 6: Final answer
    x = 1,648,122.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.