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Finding the Third Proportional to 650 and 1,709

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Solution

The third proportional to 650 and 1,709 is: 4,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 1,709 = 1,709 : x
  2. Step 2: Convert to fraction form
    650/1,709 = 1,709/x
  3. Step 3: Cross multiply
    650x = 1,709 × 1,709
  4. Step 4: Simplify right side
    650x = 2,920,681
  5. Step 5: Solve for x
    x = 2,920,681/650
  6. Step 6: Final answer
    x = 4,493.36

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.