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Finding the Third Proportional to 609,583.50 and 949,272.75

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Solution

The third proportional to 609,583.50 and 949,272.75 is: 1,478,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,583.50 : 949,272.75 = 949,272.75 : x
  2. Step 2: Convert to fraction form
    609,583.50/949,272.75 = 949,272.75/x
  3. Step 3: Cross multiply
    609,583.50x = 949,272.75 × 949,272.75
  4. Step 4: Simplify right side
    609,583.50x = 901,118,753,892.56
  5. Step 5: Solve for x
    x = 901,118,753,892.56/609,583.50
  6. Step 6: Final answer
    x = 1,478,253.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.