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Finding the Third Proportional to 335,818 and 506,962

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Solution

The third proportional to 335,818 and 506,962 is: 765,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,818 : 506,962 = 506,962 : x
  2. Step 2: Convert to fraction form
    335,818/506,962 = 506,962/x
  3. Step 3: Cross multiply
    335,818x = 506,962 × 506,962
  4. Step 4: Simplify right side
    335,818x = 257,010,469,444
  5. Step 5: Solve for x
    x = 257,010,469,444/335,818
  6. Step 6: Final answer
    x = 765,326.66

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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.