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Finding the Third Proportional to 286,808 and 443,868

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Solution

The third proportional to 286,808 and 443,868 is: 686,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,808 : 443,868 = 443,868 : x
  2. Step 2: Convert to fraction form
    286,808/443,868 = 443,868/x
  3. Step 3: Cross multiply
    286,808x = 443,868 × 443,868
  4. Step 4: Simplify right side
    286,808x = 197,018,801,424
  5. Step 5: Solve for x
    x = 197,018,801,424/286,808
  6. Step 6: Final answer
    x = 686,936.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.