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Finding the Third Proportional to 353,445.40 and 762,932.67

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Solution

The third proportional to 353,445.40 and 762,932.67 is: 1,646,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,445.40 : 762,932.67 = 762,932.67 : x
  2. Step 2: Convert to fraction form
    353,445.40/762,932.67 = 762,932.67/x
  3. Step 3: Cross multiply
    353,445.40x = 762,932.67 × 762,932.67
  4. Step 4: Simplify right side
    353,445.40x = 582,066,261,814.33
  5. Step 5: Solve for x
    x = 582,066,261,814.33/353,445.40
  6. Step 6: Final answer
    x = 1,646,835.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.