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Finding the Third Proportional to 279,954 and 425,114

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Solution

The third proportional to 279,954 and 425,114 is: 645,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,954 : 425,114 = 425,114 : x
  2. Step 2: Convert to fraction form
    279,954/425,114 = 425,114/x
  3. Step 3: Cross multiply
    279,954x = 425,114 × 425,114
  4. Step 4: Simplify right side
    279,954x = 180,721,912,996
  5. Step 5: Solve for x
    x = 180,721,912,996/279,954
  6. Step 6: Final answer
    x = 645,541.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.