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Finding the Third Proportional to 283,479 and 434,979

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Solution

The third proportional to 283,479 and 434,979 is: 667,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,479 : 434,979 = 434,979 : x
  2. Step 2: Convert to fraction form
    283,479/434,979 = 434,979/x
  3. Step 3: Cross multiply
    283,479x = 434,979 × 434,979
  4. Step 4: Simplify right side
    283,479x = 189,206,730,441
  5. Step 5: Solve for x
    x = 189,206,730,441/283,479
  6. Step 6: Final answer
    x = 667,445.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.