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Finding the Third Proportional to 241,824 and 526,664

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Solution

The third proportional to 241,824 and 526,664 is: 1,147,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,824 : 526,664 = 526,664 : x
  2. Step 2: Convert to fraction form
    241,824/526,664 = 526,664/x
  3. Step 3: Cross multiply
    241,824x = 526,664 × 526,664
  4. Step 4: Simplify right side
    241,824x = 277,374,968,896
  5. Step 5: Solve for x
    x = 277,374,968,896/241,824
  6. Step 6: Final answer
    x = 1,147,011.75

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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.