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Finding the Third Proportional to 246,020 and 401,731

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Solution

The third proportional to 246,020 and 401,731 is: 655,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,020 : 401,731 = 401,731 : x
  2. Step 2: Convert to fraction form
    246,020/401,731 = 401,731/x
  3. Step 3: Cross multiply
    246,020x = 401,731 × 401,731
  4. Step 4: Simplify right side
    246,020x = 161,387,796,361
  5. Step 5: Solve for x
    x = 161,387,796,361/246,020
  6. Step 6: Final answer
    x = 655,994.62

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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.