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Finding the Third Proportional to 267,252 and 410,958

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Solution

The third proportional to 267,252 and 410,958 is: 631,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,252 : 410,958 = 410,958 : x
  2. Step 2: Convert to fraction form
    267,252/410,958 = 410,958/x
  3. Step 3: Cross multiply
    267,252x = 410,958 × 410,958
  4. Step 4: Simplify right side
    267,252x = 168,886,477,764
  5. Step 5: Solve for x
    x = 168,886,477,764/267,252
  6. Step 6: Final answer
    x = 631,937.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.