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Finding the Third Proportional to 301,686.75 and 447,311.25

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Solution

The third proportional to 301,686.75 and 447,311.25 is: 663,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,686.75 : 447,311.25 = 447,311.25 : x
  2. Step 2: Convert to fraction form
    301,686.75/447,311.25 = 447,311.25/x
  3. Step 3: Cross multiply
    301,686.75x = 447,311.25 × 447,311.25
  4. Step 4: Simplify right side
    301,686.75x = 200,087,354,376.56
  5. Step 5: Solve for x
    x = 200,087,354,376.56/301,686.75
  6. Step 6: Final answer
    x = 663,228.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.