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Finding the Third Proportional to 263,674 and 546,040

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Solution

The third proportional to 263,674 and 546,040 is: 1,130,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,674 : 546,040 = 546,040 : x
  2. Step 2: Convert to fraction form
    263,674/546,040 = 546,040/x
  3. Step 3: Cross multiply
    263,674x = 546,040 × 546,040
  4. Step 4: Simplify right side
    263,674x = 298,159,681,600
  5. Step 5: Solve for x
    x = 298,159,681,600/263,674
  6. Step 6: Final answer
    x = 1,130,789.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.