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Finding the Third Proportional to 336,764 and 533,154

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Solution

The third proportional to 336,764 and 533,154 is: 844,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,764 : 533,154 = 533,154 : x
  2. Step 2: Convert to fraction form
    336,764/533,154 = 533,154/x
  3. Step 3: Cross multiply
    336,764x = 533,154 × 533,154
  4. Step 4: Simplify right side
    336,764x = 284,253,187,716
  5. Step 5: Solve for x
    x = 284,253,187,716/336,764
  6. Step 6: Final answer
    x = 844,072.37

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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.