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Finding the Third Proportional to 336,382 and 534,917

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Solution

The third proportional to 336,382 and 534,917 is: 850,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,382 : 534,917 = 534,917 : x
  2. Step 2: Convert to fraction form
    336,382/534,917 = 534,917/x
  3. Step 3: Cross multiply
    336,382x = 534,917 × 534,917
  4. Step 4: Simplify right side
    336,382x = 286,136,196,889
  5. Step 5: Solve for x
    x = 286,136,196,889/336,382
  6. Step 6: Final answer
    x = 850,628.74

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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.