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Finding the Third Proportional to 590 and 1,559

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Solution

The third proportional to 590 and 1,559 is: 4,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 1,559 = 1,559 : x
  2. Step 2: Convert to fraction form
    590/1,559 = 1,559/x
  3. Step 3: Cross multiply
    590x = 1,559 × 1,559
  4. Step 4: Simplify right side
    590x = 2,430,481
  5. Step 5: Solve for x
    x = 2,430,481/590
  6. Step 6: Final answer
    x = 4,119.46

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.