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Finding the Third Proportional to 336,066 and 532,401

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Solution

The third proportional to 336,066 and 532,401 is: 843,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,066 : 532,401 = 532,401 : x
  2. Step 2: Convert to fraction form
    336,066/532,401 = 532,401/x
  3. Step 3: Cross multiply
    336,066x = 532,401 × 532,401
  4. Step 4: Simplify right side
    336,066x = 283,450,824,801
  5. Step 5: Solve for x
    x = 283,450,824,801/336,066
  6. Step 6: Final answer
    x = 843,437.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.