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Finding the Third Proportional to 509 and 970

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Solution

The third proportional to 509 and 970 is: 1,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 970 = 970 : x
  2. Step 2: Convert to fraction form
    509/970 = 970/x
  3. Step 3: Cross multiply
    509x = 970 × 970
  4. Step 4: Simplify right side
    509x = 940,900
  5. Step 5: Solve for x
    x = 940,900/509
  6. Step 6: Final answer
    x = 1,848.53

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.