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Finding the Third Proportional to 233,926.50 and 476,330.25

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Solution

The third proportional to 233,926.50 and 476,330.25 is: 969,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,926.50 : 476,330.25 = 476,330.25 : x
  2. Step 2: Convert to fraction form
    233,926.50/476,330.25 = 476,330.25/x
  3. Step 3: Cross multiply
    233,926.50x = 476,330.25 × 476,330.25
  4. Step 4: Simplify right side
    233,926.50x = 226,890,507,065.06
  5. Step 5: Solve for x
    x = 226,890,507,065.06/233,926.50
  6. Step 6: Final answer
    x = 969,922.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.