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Finding the Third Proportional to 255,852 and 401,337

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Solution

The third proportional to 255,852 and 401,337 is: 629,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,852 : 401,337 = 401,337 : x
  2. Step 2: Convert to fraction form
    255,852/401,337 = 401,337/x
  3. Step 3: Cross multiply
    255,852x = 401,337 × 401,337
  4. Step 4: Simplify right side
    255,852x = 161,071,387,569
  5. Step 5: Solve for x
    x = 161,071,387,569/255,852
  6. Step 6: Final answer
    x = 629,549.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.