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Finding the Third Proportional to 336,036 and 532,355

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Solution

The third proportional to 336,036 and 532,355 is: 843,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,036 : 532,355 = 532,355 : x
  2. Step 2: Convert to fraction form
    336,036/532,355 = 532,355/x
  3. Step 3: Cross multiply
    336,036x = 532,355 × 532,355
  4. Step 4: Simplify right side
    336,036x = 283,401,846,025
  5. Step 5: Solve for x
    x = 283,401,846,025/336,036
  6. Step 6: Final answer
    x = 843,367.51

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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.