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Finding the Third Proportional to 241,808 and 526,438

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Solution

The third proportional to 241,808 and 526,438 is: 1,146,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,808 : 526,438 = 526,438 : x
  2. Step 2: Convert to fraction form
    241,808/526,438 = 526,438/x
  3. Step 3: Cross multiply
    241,808x = 526,438 × 526,438
  4. Step 4: Simplify right side
    241,808x = 277,136,967,844
  5. Step 5: Solve for x
    x = 277,136,967,844/241,808
  6. Step 6: Final answer
    x = 1,146,103.39

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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.