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Finding the Third Proportional to 273,325 and 600,461

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Solution

The third proportional to 273,325 and 600,461 is: 1,319,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,325 : 600,461 = 600,461 : x
  2. Step 2: Convert to fraction form
    273,325/600,461 = 600,461/x
  3. Step 3: Cross multiply
    273,325x = 600,461 × 600,461
  4. Step 4: Simplify right side
    273,325x = 360,553,412,521
  5. Step 5: Solve for x
    x = 360,553,412,521/273,325
  6. Step 6: Final answer
    x = 1,319,138.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.