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Finding the Third Proportional to 351,918 and 767,364

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Solution

The third proportional to 351,918 and 767,364 is: 1,673,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,918 : 767,364 = 767,364 : x
  2. Step 2: Convert to fraction form
    351,918/767,364 = 767,364/x
  3. Step 3: Cross multiply
    351,918x = 767,364 × 767,364
  4. Step 4: Simplify right side
    351,918x = 588,847,508,496
  5. Step 5: Solve for x
    x = 588,847,508,496/351,918
  6. Step 6: Final answer
    x = 1,673,252.03

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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.