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Finding the Third Proportional to 354,512 and 765,364

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Solution

The third proportional to 354,512 and 765,364 is: 1,652,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,512 : 765,364 = 765,364 : x
  2. Step 2: Convert to fraction form
    354,512/765,364 = 765,364/x
  3. Step 3: Cross multiply
    354,512x = 765,364 × 765,364
  4. Step 4: Simplify right side
    354,512x = 585,782,052,496
  5. Step 5: Solve for x
    x = 585,782,052,496/354,512
  6. Step 6: Final answer
    x = 1,652,361.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.