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Finding the Third Proportional to 264,256 and 466,448

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Solution

The third proportional to 264,256 and 466,448 is: 823,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,256 : 466,448 = 466,448 : x
  2. Step 2: Convert to fraction form
    264,256/466,448 = 466,448/x
  3. Step 3: Cross multiply
    264,256x = 466,448 × 466,448
  4. Step 4: Simplify right side
    264,256x = 217,573,736,704
  5. Step 5: Solve for x
    x = 217,573,736,704/264,256
  6. Step 6: Final answer
    x = 823,344.55

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.