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Finding the Third Proportional to 331,300 and 441,402

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Solution

The third proportional to 331,300 and 441,402 is: 588,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,300 : 441,402 = 441,402 : x
  2. Step 2: Convert to fraction form
    331,300/441,402 = 441,402/x
  3. Step 3: Cross multiply
    331,300x = 441,402 × 441,402
  4. Step 4: Simplify right side
    331,300x = 194,835,725,604
  5. Step 5: Solve for x
    x = 194,835,725,604/331,300
  6. Step 6: Final answer
    x = 588,094.55

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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.