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Finding the Third Proportional to 273,280 and 593,840

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Solution

The third proportional to 273,280 and 593,840 is: 1,290,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,280 : 593,840 = 593,840 : x
  2. Step 2: Convert to fraction form
    273,280/593,840 = 593,840/x
  3. Step 3: Cross multiply
    273,280x = 593,840 × 593,840
  4. Step 4: Simplify right side
    273,280x = 352,645,945,600
  5. Step 5: Solve for x
    x = 352,645,945,600/273,280
  6. Step 6: Final answer
    x = 1,290,419.88

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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.