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Finding the Third Proportional to 301,587.75 and 450,900

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Solution

The third proportional to 301,587.75 and 450,900 is: 674,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,587.75 : 450,900 = 450,900 : x
  2. Step 2: Convert to fraction form
    301,587.75/450,900 = 450,900/x
  3. Step 3: Cross multiply
    301,587.75x = 450,900 × 450,900
  4. Step 4: Simplify right side
    301,587.75x = 203,310,810,000
  5. Step 5: Solve for x
    x = 203,310,810,000/301,587.75
  6. Step 6: Final answer
    x = 674,134.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.