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Finding the Third Proportional to 336,116 and 520,699

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Solution

The third proportional to 336,116 and 520,699 is: 806,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,116 : 520,699 = 520,699 : x
  2. Step 2: Convert to fraction form
    336,116/520,699 = 520,699/x
  3. Step 3: Cross multiply
    336,116x = 520,699 × 520,699
  4. Step 4: Simplify right side
    336,116x = 271,127,448,601
  5. Step 5: Solve for x
    x = 271,127,448,601/336,116
  6. Step 6: Final answer
    x = 806,648.44

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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.