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Finding the Third Proportional to 267,078 and 624,207

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Solution

The third proportional to 267,078 and 624,207 is: 1,458,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,078 : 624,207 = 624,207 : x
  2. Step 2: Convert to fraction form
    267,078/624,207 = 624,207/x
  3. Step 3: Cross multiply
    267,078x = 624,207 × 624,207
  4. Step 4: Simplify right side
    267,078x = 389,634,378,849
  5. Step 5: Solve for x
    x = 389,634,378,849/267,078
  6. Step 6: Final answer
    x = 1,458,878.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.