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Finding the Third Proportional to 301,719 and 415,621.50

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Solution

The third proportional to 301,719 and 415,621.50 is: 572,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719 : 415,621.50 = 415,621.50 : x
  2. Step 2: Convert to fraction form
    301,719/415,621.50 = 415,621.50/x
  3. Step 3: Cross multiply
    301,719x = 415,621.50 × 415,621.50
  4. Step 4: Simplify right side
    301,719x = 172,741,231,262.25
  5. Step 5: Solve for x
    x = 172,741,231,262.25/301,719
  6. Step 6: Final answer
    x = 572,523.54

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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.