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Finding the Third Proportional to 325,672.88 and 707,049

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Solution

The third proportional to 325,672.88 and 707,049 is: 1,535,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,672.88 : 707,049 = 707,049 : x
  2. Step 2: Convert to fraction form
    325,672.88/707,049 = 707,049/x
  3. Step 3: Cross multiply
    325,672.88x = 707,049 × 707,049
  4. Step 4: Simplify right side
    325,672.88x = 499,918,288,401
  5. Step 5: Solve for x
    x = 499,918,288,401/325,672.88
  6. Step 6: Final answer
    x = 1,535,032.01

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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.