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Finding the Third Proportional to 246,043 and 401,763

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Solution

The third proportional to 246,043 and 401,763 is: 656,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,043 : 401,763 = 401,763 : x
  2. Step 2: Convert to fraction form
    246,043/401,763 = 401,763/x
  3. Step 3: Cross multiply
    246,043x = 401,763 × 401,763
  4. Step 4: Simplify right side
    246,043x = 161,413,508,169
  5. Step 5: Solve for x
    x = 161,413,508,169/246,043
  6. Step 6: Final answer
    x = 656,037.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.