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Finding the Third Proportional to 351,034 and 758,003

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Solution

The third proportional to 351,034 and 758,003 is: 1,636,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,034 : 758,003 = 758,003 : x
  2. Step 2: Convert to fraction form
    351,034/758,003 = 758,003/x
  3. Step 3: Cross multiply
    351,034x = 758,003 × 758,003
  4. Step 4: Simplify right side
    351,034x = 574,568,548,009
  5. Step 5: Solve for x
    x = 574,568,548,009/351,034
  6. Step 6: Final answer
    x = 1,636,788.88

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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.