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Finding the Third Proportional to 214,476 and 464,256

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Solution

The third proportional to 214,476 and 464,256 is: 1,004,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,476 : 464,256 = 464,256 : x
  2. Step 2: Convert to fraction form
    214,476/464,256 = 464,256/x
  3. Step 3: Cross multiply
    214,476x = 464,256 × 464,256
  4. Step 4: Simplify right side
    214,476x = 215,533,633,536
  5. Step 5: Solve for x
    x = 215,533,633,536/214,476
  6. Step 6: Final answer
    x = 1,004,931.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.