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Finding the Third Proportional to 351,273 and 757,842

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Solution

The third proportional to 351,273 and 757,842 is: 1,634,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,273 : 757,842 = 757,842 : x
  2. Step 2: Convert to fraction form
    351,273/757,842 = 757,842/x
  3. Step 3: Cross multiply
    351,273x = 757,842 × 757,842
  4. Step 4: Simplify right side
    351,273x = 574,324,496,964
  5. Step 5: Solve for x
    x = 574,324,496,964/351,273
  6. Step 6: Final answer
    x = 1,634,980.48

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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.