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Finding the Third Proportional to 233,969 and 479,026

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Solution

The third proportional to 233,969 and 479,026 is: 980,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,969 : 479,026 = 479,026 : x
  2. Step 2: Convert to fraction form
    233,969/479,026 = 479,026/x
  3. Step 3: Cross multiply
    233,969x = 479,026 × 479,026
  4. Step 4: Simplify right side
    233,969x = 229,465,908,676
  5. Step 5: Solve for x
    x = 229,465,908,676/233,969
  6. Step 6: Final answer
    x = 980,753.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.