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Finding the Third Proportional to 276,924 and 600,504

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Solution

The third proportional to 276,924 and 600,504 is: 1,302,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,924 : 600,504 = 600,504 : x
  2. Step 2: Convert to fraction form
    276,924/600,504 = 600,504/x
  3. Step 3: Cross multiply
    276,924x = 600,504 × 600,504
  4. Step 4: Simplify right side
    276,924x = 360,605,054,016
  5. Step 5: Solve for x
    x = 360,605,054,016/276,924
  6. Step 6: Final answer
    x = 1,302,180.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.