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Finding the Third Proportional to 246,123 and 526,374

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Solution

The third proportional to 246,123 and 526,374 is: 1,125,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,123 : 526,374 = 526,374 : x
  2. Step 2: Convert to fraction form
    246,123/526,374 = 526,374/x
  3. Step 3: Cross multiply
    246,123x = 526,374 × 526,374
  4. Step 4: Simplify right side
    246,123x = 277,069,587,876
  5. Step 5: Solve for x
    x = 277,069,587,876/246,123
  6. Step 6: Final answer
    x = 1,125,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.