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Finding the Third Proportional to 263,470 and 574,674

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Solution

The third proportional to 263,470 and 574,674 is: 1,253,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,470 : 574,674 = 574,674 : x
  2. Step 2: Convert to fraction form
    263,470/574,674 = 574,674/x
  3. Step 3: Cross multiply
    263,470x = 574,674 × 574,674
  4. Step 4: Simplify right side
    263,470x = 330,250,206,276
  5. Step 5: Solve for x
    x = 330,250,206,276/263,470
  6. Step 6: Final answer
    x = 1,253,464.18

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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.