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Finding the Third Proportional to 631,464 and 944,256

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Solution

The third proportional to 631,464 and 944,256 is: 1,411,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,464 : 944,256 = 944,256 : x
  2. Step 2: Convert to fraction form
    631,464/944,256 = 944,256/x
  3. Step 3: Cross multiply
    631,464x = 944,256 × 944,256
  4. Step 4: Simplify right side
    631,464x = 891,619,393,536
  5. Step 5: Solve for x
    x = 891,619,393,536/631,464
  6. Step 6: Final answer
    x = 1,411,987.69

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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.