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Finding the Third Proportional to 325,680.75 and 707,059.13

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Solution

The third proportional to 325,680.75 and 707,059.13 is: 1,535,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,680.75 : 707,059.13 = 707,059.13 : x
  2. Step 2: Convert to fraction form
    325,680.75/707,059.13 = 707,059.13/x
  3. Step 3: Cross multiply
    325,680.75x = 707,059.13 × 707,059.13
  4. Step 4: Simplify right side
    325,680.75x = 499,932,606,245.77
  5. Step 5: Solve for x
    x = 499,932,606,245.77/325,680.75
  6. Step 6: Final answer
    x = 1,535,038.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.