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Finding the Third Proportional to 336,384 and 521,390

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Solution

The third proportional to 336,384 and 521,390 is: 808,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,384 : 521,390 = 521,390 : x
  2. Step 2: Convert to fraction form
    336,384/521,390 = 521,390/x
  3. Step 3: Cross multiply
    336,384x = 521,390 × 521,390
  4. Step 4: Simplify right side
    336,384x = 271,847,532,100
  5. Step 5: Solve for x
    x = 271,847,532,100/336,384
  6. Step 6: Final answer
    x = 808,146.44

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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.