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Finding the Third Proportional to 201,677 and 440,032

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Solution

The third proportional to 201,677 and 440,032 is: 960,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677 : 440,032 = 440,032 : x
  2. Step 2: Convert to fraction form
    201,677/440,032 = 440,032/x
  3. Step 3: Cross multiply
    201,677x = 440,032 × 440,032
  4. Step 4: Simplify right side
    201,677x = 193,628,161,024
  5. Step 5: Solve for x
    x = 193,628,161,024/201,677
  6. Step 6: Final answer
    x = 960,090.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.