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Finding the Third Proportional to 301,407.75 and 409,335.75

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Solution

The third proportional to 301,407.75 and 409,335.75 is: 555,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,407.75 : 409,335.75 = 409,335.75 : x
  2. Step 2: Convert to fraction form
    301,407.75/409,335.75 = 409,335.75/x
  3. Step 3: Cross multiply
    301,407.75x = 409,335.75 × 409,335.75
  4. Step 4: Simplify right side
    301,407.75x = 167,555,756,228.06
  5. Step 5: Solve for x
    x = 167,555,756,228.06/301,407.75
  6. Step 6: Final answer
    x = 555,910.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.