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Finding the Third Proportional to 301,705.88 and 447,337.13

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Solution

The third proportional to 301,705.88 and 447,337.13 is: 663,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,705.88 : 447,337.13 = 447,337.13 : x
  2. Step 2: Convert to fraction form
    301,705.88/447,337.13 = 447,337.13/x
  3. Step 3: Cross multiply
    301,705.88x = 447,337.13 × 447,337.13
  4. Step 4: Simplify right side
    301,705.88x = 200,110,503,403.27
  5. Step 5: Solve for x
    x = 200,110,503,403.27/301,705.88
  6. Step 6: Final answer
    x = 663,263.53

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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.