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Finding the Third Proportional to 267,867 and 415,030.50

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Solution

The third proportional to 267,867 and 415,030.50 is: 643,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,867 : 415,030.50 = 415,030.50 : x
  2. Step 2: Convert to fraction form
    267,867/415,030.50 = 415,030.50/x
  3. Step 3: Cross multiply
    267,867x = 415,030.50 × 415,030.50
  4. Step 4: Simplify right side
    267,867x = 172,250,315,930.25
  5. Step 5: Solve for x
    x = 172,250,315,930.25/267,867
  6. Step 6: Final answer
    x = 643,044.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.