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Finding the Third Proportional to 511,200.75 and 793,771.88

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Solution

The third proportional to 511,200.75 and 793,771.88 is: 1,232,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,200.75 : 793,771.88 = 793,771.88 : x
  2. Step 2: Convert to fraction form
    511,200.75/793,771.88 = 793,771.88/x
  3. Step 3: Cross multiply
    511,200.75x = 793,771.88 × 793,771.88
  4. Step 4: Simplify right side
    511,200.75x = 630,073,789,541.02
  5. Step 5: Solve for x
    x = 630,073,789,541.02/511,200.75
  6. Step 6: Final answer
    x = 1,232,536.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.