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Finding the Third Proportional to 263,424 and 577,032

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Solution

The third proportional to 263,424 and 577,032 is: 1,263,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,424 : 577,032 = 577,032 : x
  2. Step 2: Convert to fraction form
    263,424/577,032 = 577,032/x
  3. Step 3: Cross multiply
    263,424x = 577,032 × 577,032
  4. Step 4: Simplify right side
    263,424x = 332,965,929,024
  5. Step 5: Solve for x
    x = 332,965,929,024/263,424
  6. Step 6: Final answer
    x = 1,263,992.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.