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Finding the Third Proportional to 427,099.88 and 600,769.75

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Solution

The third proportional to 427,099.88 and 600,769.75 is: 845,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,099.88 : 600,769.75 = 600,769.75 : x
  2. Step 2: Convert to fraction form
    427,099.88/600,769.75 = 600,769.75/x
  3. Step 3: Cross multiply
    427,099.88x = 600,769.75 × 600,769.75
  4. Step 4: Simplify right side
    427,099.88x = 360,924,292,515.06
  5. Step 5: Solve for x
    x = 360,924,292,515.06/427,099.88
  6. Step 6: Final answer
    x = 845,058.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.