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Finding the Third Proportional to 219,632 and 328,464

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Solution

The third proportional to 219,632 and 328,464 is: 491,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,632 : 328,464 = 328,464 : x
  2. Step 2: Convert to fraction form
    219,632/328,464 = 328,464/x
  3. Step 3: Cross multiply
    219,632x = 328,464 × 328,464
  4. Step 4: Simplify right side
    219,632x = 107,888,599,296
  5. Step 5: Solve for x
    x = 107,888,599,296/219,632
  6. Step 6: Final answer
    x = 491,224.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.