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Finding the Third Proportional to 335,066 and 510,497

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Solution

The third proportional to 335,066 and 510,497 is: 777,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,066 : 510,497 = 510,497 : x
  2. Step 2: Convert to fraction form
    335,066/510,497 = 510,497/x
  3. Step 3: Cross multiply
    335,066x = 510,497 × 510,497
  4. Step 4: Simplify right side
    335,066x = 260,607,187,009
  5. Step 5: Solve for x
    x = 260,607,187,009/335,066
  6. Step 6: Final answer
    x = 777,778.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.