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Finding the Third Proportional to 233,931 and 476,338

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Solution

The third proportional to 233,931 and 476,338 is: 969,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,931 : 476,338 = 476,338 : x
  2. Step 2: Convert to fraction form
    233,931/476,338 = 476,338/x
  3. Step 3: Cross multiply
    233,931x = 476,338 × 476,338
  4. Step 4: Simplify right side
    233,931x = 226,897,890,244
  5. Step 5: Solve for x
    x = 226,897,890,244/233,931
  6. Step 6: Final answer
    x = 969,935.11

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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.