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Finding the Third Proportional to 331,332 and 441,447

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Solution

The third proportional to 331,332 and 441,447 is: 588,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,332 : 441,447 = 441,447 : x
  2. Step 2: Convert to fraction form
    331,332/441,447 = 441,447/x
  3. Step 3: Cross multiply
    331,332x = 441,447 × 441,447
  4. Step 4: Simplify right side
    331,332x = 194,875,453,809
  5. Step 5: Solve for x
    x = 194,875,453,809/331,332
  6. Step 6: Final answer
    x = 588,157.66

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1.5x scale

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.