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Finding the Third Proportional to 263,074 and 579,770

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Solution

The third proportional to 263,074 and 579,770 is: 1,277,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,074 : 579,770 = 579,770 : x
  2. Step 2: Convert to fraction form
    263,074/579,770 = 579,770/x
  3. Step 3: Cross multiply
    263,074x = 579,770 × 579,770
  4. Step 4: Simplify right side
    263,074x = 336,133,252,900
  5. Step 5: Solve for x
    x = 336,133,252,900/263,074
  6. Step 6: Final answer
    x = 1,277,713.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.