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Finding the Third Proportional to 389,525 and 586,851

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Solution

The third proportional to 389,525 and 586,851 is: 884,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,525 : 586,851 = 586,851 : x
  2. Step 2: Convert to fraction form
    389,525/586,851 = 586,851/x
  3. Step 3: Cross multiply
    389,525x = 586,851 × 586,851
  4. Step 4: Simplify right side
    389,525x = 344,394,096,201
  5. Step 5: Solve for x
    x = 344,394,096,201/389,525
  6. Step 6: Final answer
    x = 884,138.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.