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Finding the Third Proportional to 335,804 and 506,938

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Solution

The third proportional to 335,804 and 506,938 is: 765,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,804 : 506,938 = 506,938 : x
  2. Step 2: Convert to fraction form
    335,804/506,938 = 506,938/x
  3. Step 3: Cross multiply
    335,804x = 506,938 × 506,938
  4. Step 4: Simplify right side
    335,804x = 256,986,135,844
  5. Step 5: Solve for x
    x = 256,986,135,844/335,804
  6. Step 6: Final answer
    x = 765,286.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.