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Finding the Third Proportional to 274,858 and 596,716

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Solution

The third proportional to 274,858 and 596,716 is: 1,295,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,858 : 596,716 = 596,716 : x
  2. Step 2: Convert to fraction form
    274,858/596,716 = 596,716/x
  3. Step 3: Cross multiply
    274,858x = 596,716 × 596,716
  4. Step 4: Simplify right side
    274,858x = 356,069,984,656
  5. Step 5: Solve for x
    x = 356,069,984,656/274,858
  6. Step 6: Final answer
    x = 1,295,468.88

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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.