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Finding the Third Proportional to 231,426 and 481,284

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Solution

The third proportional to 231,426 and 481,284 is: 1,000,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,426 : 481,284 = 481,284 : x
  2. Step 2: Convert to fraction form
    231,426/481,284 = 481,284/x
  3. Step 3: Cross multiply
    231,426x = 481,284 × 481,284
  4. Step 4: Simplify right side
    231,426x = 231,634,288,656
  5. Step 5: Solve for x
    x = 231,634,288,656/231,426
  6. Step 6: Final answer
    x = 1,000,900.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.