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Finding the Third Proportional to 331,694 and 719,703.25

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Solution

The third proportional to 331,694 and 719,703.25 is: 1,561,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,694 : 719,703.25 = 719,703.25 : x
  2. Step 2: Convert to fraction form
    331,694/719,703.25 = 719,703.25/x
  3. Step 3: Cross multiply
    331,694x = 719,703.25 × 719,703.25
  4. Step 4: Simplify right side
    331,694x = 517,972,768,060.56
  5. Step 5: Solve for x
    x = 517,972,768,060.56/331,694
  6. Step 6: Final answer
    x = 1,561,598.24

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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.