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Finding the Third Proportional to 259,722 and 389,583

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Solution

The third proportional to 259,722 and 389,583 is: 584,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,722 : 389,583 = 389,583 : x
  2. Step 2: Convert to fraction form
    259,722/389,583 = 389,583/x
  3. Step 3: Cross multiply
    259,722x = 389,583 × 389,583
  4. Step 4: Simplify right side
    259,722x = 151,774,913,889
  5. Step 5: Solve for x
    x = 151,774,913,889/259,722
  6. Step 6: Final answer
    x = 584,374.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.