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Finding the Third Proportional to 248,278 and 526,348

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Solution

The third proportional to 248,278 and 526,348 is: 1,115,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,278 : 526,348 = 526,348 : x
  2. Step 2: Convert to fraction form
    248,278/526,348 = 526,348/x
  3. Step 3: Cross multiply
    248,278x = 526,348 × 526,348
  4. Step 4: Simplify right side
    248,278x = 277,042,217,104
  5. Step 5: Solve for x
    x = 277,042,217,104/248,278
  6. Step 6: Final answer
    x = 1,115,854.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.