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Finding the Third Proportional to 246,298 and 531,956

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Solution

The third proportional to 246,298 and 531,956 is: 1,148,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,298 : 531,956 = 531,956 : x
  2. Step 2: Convert to fraction form
    246,298/531,956 = 531,956/x
  3. Step 3: Cross multiply
    246,298x = 531,956 × 531,956
  4. Step 4: Simplify right side
    246,298x = 282,977,185,936
  5. Step 5: Solve for x
    x = 282,977,185,936/246,298
  6. Step 6: Final answer
    x = 1,148,921.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.