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Finding the Third Proportional to 301,713 and 415,611.75

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Solution

The third proportional to 301,713 and 415,611.75 is: 572,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713 : 415,611.75 = 415,611.75 : x
  2. Step 2: Convert to fraction form
    301,713/415,611.75 = 415,611.75/x
  3. Step 3: Cross multiply
    301,713x = 415,611.75 × 415,611.75
  4. Step 4: Simplify right side
    301,713x = 172,733,126,738.06
  5. Step 5: Solve for x
    x = 172,733,126,738.06/301,713
  6. Step 6: Final answer
    x = 572,508.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.