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Finding the Third Proportional to 233,965.50 and 479,019.75

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Solution

The third proportional to 233,965.50 and 479,019.75 is: 980,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,965.50 : 479,019.75 = 479,019.75 : x
  2. Step 2: Convert to fraction form
    233,965.50/479,019.75 = 479,019.75/x
  3. Step 3: Cross multiply
    233,965.50x = 479,019.75 × 479,019.75
  4. Step 4: Simplify right side
    233,965.50x = 229,459,920,890.06
  5. Step 5: Solve for x
    x = 229,459,920,890.06/233,965.50
  6. Step 6: Final answer
    x = 980,742.55

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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.