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Finding the Third Proportional to 276,024 and 415,418.25

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Solution

The third proportional to 276,024 and 415,418.25 is: 625,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,024 : 415,418.25 = 415,418.25 : x
  2. Step 2: Convert to fraction form
    276,024/415,418.25 = 415,418.25/x
  3. Step 3: Cross multiply
    276,024x = 415,418.25 × 415,418.25
  4. Step 4: Simplify right side
    276,024x = 172,572,322,433.06
  5. Step 5: Solve for x
    x = 172,572,322,433.06/276,024
  6. Step 6: Final answer
    x = 625,207.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.