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Finding the Third Proportional to 202,677 and 439,966

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Solution

The third proportional to 202,677 and 439,966 is: 955,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,677 : 439,966 = 439,966 : x
  2. Step 2: Convert to fraction form
    202,677/439,966 = 439,966/x
  3. Step 3: Cross multiply
    202,677x = 439,966 × 439,966
  4. Step 4: Simplify right side
    202,677x = 193,570,081,156
  5. Step 5: Solve for x
    x = 193,570,081,156/202,677
  6. Step 6: Final answer
    x = 955,066.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.