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Finding the Third Proportional to 301,462.50 and 479,868.75

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Solution

The third proportional to 301,462.50 and 479,868.75 is: 763,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,462.50 : 479,868.75 = 479,868.75 : x
  2. Step 2: Convert to fraction form
    301,462.50/479,868.75 = 479,868.75/x
  3. Step 3: Cross multiply
    301,462.50x = 479,868.75 × 479,868.75
  4. Step 4: Simplify right side
    301,462.50x = 230,274,017,226.56
  5. Step 5: Solve for x
    x = 230,274,017,226.56/301,462.50
  6. Step 6: Final answer
    x = 763,856.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.