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Finding the Third Proportional to 246,018.94 and 401,729.63

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Solution

The third proportional to 246,018.94 and 401,729.63 is: 655,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,018.94 : 401,729.63 = 401,729.63 : x
  2. Step 2: Convert to fraction form
    246,018.94/401,729.63 = 401,729.63/x
  3. Step 3: Cross multiply
    246,018.94x = 401,729.63 × 401,729.63
  4. Step 4: Simplify right side
    246,018.94x = 161,386,691,602.64
  5. Step 5: Solve for x
    x = 161,386,691,602.64/246,018.94
  6. Step 6: Final answer
    x = 655,992.96

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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.