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Finding the Third Proportional to 247,977 and 506,461.50

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Solution

The third proportional to 247,977 and 506,461.50 is: 1,034,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,977 : 506,461.50 = 506,461.50 : x
  2. Step 2: Convert to fraction form
    247,977/506,461.50 = 506,461.50/x
  3. Step 3: Cross multiply
    247,977x = 506,461.50 × 506,461.50
  4. Step 4: Simplify right side
    247,977x = 256,503,250,982.25
  5. Step 5: Solve for x
    x = 256,503,250,982.25/247,977
  6. Step 6: Final answer
    x = 1,034,383.23

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.