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Finding the Third Proportional to 336,380 and 534,914

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Solution

The third proportional to 336,380 and 534,914 is: 850,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,380 : 534,914 = 534,914 : x
  2. Step 2: Convert to fraction form
    336,380/534,914 = 534,914/x
  3. Step 3: Cross multiply
    336,380x = 534,914 × 534,914
  4. Step 4: Simplify right side
    336,380x = 286,132,987,396
  5. Step 5: Solve for x
    x = 286,132,987,396/336,380
  6. Step 6: Final answer
    x = 850,624.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.