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Finding the Third Proportional to 274,046 and 597,916

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Solution

The third proportional to 274,046 and 597,916 is: 1,304,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,046 : 597,916 = 597,916 : x
  2. Step 2: Convert to fraction form
    274,046/597,916 = 597,916/x
  3. Step 3: Cross multiply
    274,046x = 597,916 × 597,916
  4. Step 4: Simplify right side
    274,046x = 357,503,543,056
  5. Step 5: Solve for x
    x = 357,503,543,056/274,046
  6. Step 6: Final answer
    x = 1,304,538.45

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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.