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Finding the Third Proportional to 609,601.50 and 966,069

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Solution

The third proportional to 609,601.50 and 966,069 is: 1,530,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,601.50 : 966,069 = 966,069 : x
  2. Step 2: Convert to fraction form
    609,601.50/966,069 = 966,069/x
  3. Step 3: Cross multiply
    609,601.50x = 966,069 × 966,069
  4. Step 4: Simplify right side
    609,601.50x = 933,289,312,761
  5. Step 5: Solve for x
    x = 933,289,312,761/609,601.50
  6. Step 6: Final answer
    x = 1,530,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.