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Finding the Third Proportional to 325,275.50 and 704,851

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Solution

The third proportional to 325,275.50 and 704,851 is: 1,527,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,275.50 : 704,851 = 704,851 : x
  2. Step 2: Convert to fraction form
    325,275.50/704,851 = 704,851/x
  3. Step 3: Cross multiply
    325,275.50x = 704,851 × 704,851
  4. Step 4: Simplify right side
    325,275.50x = 496,814,932,201
  5. Step 5: Solve for x
    x = 496,814,932,201/325,275.50
  6. Step 6: Final answer
    x = 1,527,366.59

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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.