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Finding the Third Proportional to 335,720 and 520,598

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Solution

The third proportional to 335,720 and 520,598 is: 807,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,720 : 520,598 = 520,598 : x
  2. Step 2: Convert to fraction form
    335,720/520,598 = 520,598/x
  3. Step 3: Cross multiply
    335,720x = 520,598 × 520,598
  4. Step 4: Simplify right side
    335,720x = 271,022,277,604
  5. Step 5: Solve for x
    x = 271,022,277,604/335,720
  6. Step 6: Final answer
    x = 807,286.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.