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Finding the Third Proportional to 246,735 and 526,722

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Solution

The third proportional to 246,735 and 526,722 is: 1,124,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,735 : 526,722 = 526,722 : x
  2. Step 2: Convert to fraction form
    246,735/526,722 = 526,722/x
  3. Step 3: Cross multiply
    246,735x = 526,722 × 526,722
  4. Step 4: Simplify right side
    246,735x = 277,436,065,284
  5. Step 5: Solve for x
    x = 277,436,065,284/246,735
  6. Step 6: Final answer
    x = 1,124,429.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.