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Finding the Third Proportional to 433,147.50 and 965,784.52

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Solution

The third proportional to 433,147.50 and 965,784.52 is: 2,153,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,147.50 : 965,784.52 = 965,784.52 : x
  2. Step 2: Convert to fraction form
    433,147.50/965,784.52 = 965,784.52/x
  3. Step 3: Cross multiply
    433,147.50x = 965,784.52 × 965,784.52
  4. Step 4: Simplify right side
    433,147.50x = 932,739,730,621.02
  5. Step 5: Solve for x
    x = 932,739,730,621.02/433,147.50
  6. Step 6: Final answer
    x = 2,153,399.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.