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Finding the Third Proportional to 230,256 and 484,371

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Solution

The third proportional to 230,256 and 484,371 is: 1,018,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,256 : 484,371 = 484,371 : x
  2. Step 2: Convert to fraction form
    230,256/484,371 = 484,371/x
  3. Step 3: Cross multiply
    230,256x = 484,371 × 484,371
  4. Step 4: Simplify right side
    230,256x = 234,615,265,641
  5. Step 5: Solve for x
    x = 234,615,265,641/230,256
  6. Step 6: Final answer
    x = 1,018,932.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.