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Finding the Third Proportional to 246,926 and 541,037

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Solution

The third proportional to 246,926 and 541,037 is: 1,185,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,926 : 541,037 = 541,037 : x
  2. Step 2: Convert to fraction form
    246,926/541,037 = 541,037/x
  3. Step 3: Cross multiply
    246,926x = 541,037 × 541,037
  4. Step 4: Simplify right side
    246,926x = 292,721,035,369
  5. Step 5: Solve for x
    x = 292,721,035,369/246,926
  6. Step 6: Final answer
    x = 1,185,460.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.