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Finding the Third Proportional to 273,280 and 600,364

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Solution

The third proportional to 273,280 and 600,364 is: 1,318,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,280 : 600,364 = 600,364 : x
  2. Step 2: Convert to fraction form
    273,280/600,364 = 600,364/x
  3. Step 3: Cross multiply
    273,280x = 600,364 × 600,364
  4. Step 4: Simplify right side
    273,280x = 360,436,932,496
  5. Step 5: Solve for x
    x = 360,436,932,496/273,280
  6. Step 6: Final answer
    x = 1,318,929.06

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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.