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Finding the Third Proportional to 201,893 and 443,587

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Solution

The third proportional to 201,893 and 443,587 is: 974,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,893 : 443,587 = 443,587 : x
  2. Step 2: Convert to fraction form
    201,893/443,587 = 443,587/x
  3. Step 3: Cross multiply
    201,893x = 443,587 × 443,587
  4. Step 4: Simplify right side
    201,893x = 196,769,426,569
  5. Step 5: Solve for x
    x = 196,769,426,569/201,893
  6. Step 6: Final answer
    x = 974,622.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.