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Finding the Third Proportional to 246,192 and 526,488

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Solution

The third proportional to 246,192 and 526,488 is: 1,125,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,192 : 526,488 = 526,488 : x
  2. Step 2: Convert to fraction form
    246,192/526,488 = 526,488/x
  3. Step 3: Cross multiply
    246,192x = 526,488 × 526,488
  4. Step 4: Simplify right side
    246,192x = 277,189,614,144
  5. Step 5: Solve for x
    x = 277,189,614,144/246,192
  6. Step 6: Final answer
    x = 1,125,908.29

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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.