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Finding the Third Proportional to 331,424 and 468,516

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Solution

The third proportional to 331,424 and 468,516 is: 662,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,424 : 468,516 = 468,516 : x
  2. Step 2: Convert to fraction form
    331,424/468,516 = 468,516/x
  3. Step 3: Cross multiply
    331,424x = 468,516 × 468,516
  4. Step 4: Simplify right side
    331,424x = 219,507,242,256
  5. Step 5: Solve for x
    x = 219,507,242,256/331,424
  6. Step 6: Final answer
    x = 662,315.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.