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Finding the Third Proportional to 274,362 and 598,997

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Solution

The third proportional to 274,362 and 598,997 is: 1,307,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,362 : 598,997 = 598,997 : x
  2. Step 2: Convert to fraction form
    274,362/598,997 = 598,997/x
  3. Step 3: Cross multiply
    274,362x = 598,997 × 598,997
  4. Step 4: Simplify right side
    274,362x = 358,797,406,009
  5. Step 5: Solve for x
    x = 358,797,406,009/274,362
  6. Step 6: Final answer
    x = 1,307,751.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.