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Finding the Third Proportional to 331,312 and 441,411

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Solution

The third proportional to 331,312 and 441,411 is: 588,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,312 : 441,411 = 441,411 : x
  2. Step 2: Convert to fraction form
    331,312/441,411 = 441,411/x
  3. Step 3: Cross multiply
    331,312x = 441,411 × 441,411
  4. Step 4: Simplify right side
    331,312x = 194,843,670,921
  5. Step 5: Solve for x
    x = 194,843,670,921/331,312
  6. Step 6: Final answer
    x = 588,097.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.