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Finding the Third Proportional to 286,810 and 443,871

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Solution

The third proportional to 286,810 and 443,871 is: 686,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,810 : 443,871 = 443,871 : x
  2. Step 2: Convert to fraction form
    286,810/443,871 = 443,871/x
  3. Step 3: Cross multiply
    286,810x = 443,871 × 443,871
  4. Step 4: Simplify right side
    286,810x = 197,021,464,641
  5. Step 5: Solve for x
    x = 197,021,464,641/286,810
  6. Step 6: Final answer
    x = 686,940.71

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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.