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Finding the Third Proportional to 236,466 and 512,256

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Solution

The third proportional to 236,466 and 512,256 is: 1,109,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,466 : 512,256 = 512,256 : x
  2. Step 2: Convert to fraction form
    236,466/512,256 = 512,256/x
  3. Step 3: Cross multiply
    236,466x = 512,256 × 512,256
  4. Step 4: Simplify right side
    236,466x = 262,406,209,536
  5. Step 5: Solve for x
    x = 262,406,209,536/236,466
  6. Step 6: Final answer
    x = 1,109,699.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.