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Finding the Third Proportional to 301,685.34 and 447,309.84

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Solution

The third proportional to 301,685.34 and 447,309.84 is: 663,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,685.34 : 447,309.84 = 447,309.84 : x
  2. Step 2: Convert to fraction form
    301,685.34/447,309.84 = 447,309.84/x
  3. Step 3: Cross multiply
    301,685.34x = 447,309.84 × 447,309.84
  4. Step 4: Simplify right side
    301,685.34x = 200,086,096,315.65
  5. Step 5: Solve for x
    x = 200,086,096,315.65/301,685.34
  6. Step 6: Final answer
    x = 663,227.77

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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.