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Finding the Third Proportional to 241,032 and 526,488

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Solution

The third proportional to 241,032 and 526,488 is: 1,150,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,032 : 526,488 = 526,488 : x
  2. Step 2: Convert to fraction form
    241,032/526,488 = 526,488/x
  3. Step 3: Cross multiply
    241,032x = 526,488 × 526,488
  4. Step 4: Simplify right side
    241,032x = 277,189,614,144
  5. Step 5: Solve for x
    x = 277,189,614,144/241,032
  6. Step 6: Final answer
    x = 1,150,011.68

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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.