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Finding the Third Proportional to 241,710 and 526,752

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Solution

The third proportional to 241,710 and 526,752 is: 1,147,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,710 : 526,752 = 526,752 : x
  2. Step 2: Convert to fraction form
    241,710/526,752 = 526,752/x
  3. Step 3: Cross multiply
    241,710x = 526,752 × 526,752
  4. Step 4: Simplify right side
    241,710x = 277,467,669,504
  5. Step 5: Solve for x
    x = 277,467,669,504/241,710
  6. Step 6: Final answer
    x = 1,147,936.24

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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.