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Finding the Third Proportional to 351,380 and 766,366

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Solution

The third proportional to 351,380 and 766,366 is: 1,671,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,380 : 766,366 = 766,366 : x
  2. Step 2: Convert to fraction form
    351,380/766,366 = 766,366/x
  3. Step 3: Cross multiply
    351,380x = 766,366 × 766,366
  4. Step 4: Simplify right side
    351,380x = 587,316,845,956
  5. Step 5: Solve for x
    x = 587,316,845,956/351,380
  6. Step 6: Final answer
    x = 1,671,457.81

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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.