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Finding the Third Proportional to 233,933 and 476,342

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Solution

The third proportional to 233,933 and 476,342 is: 969,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,933 : 476,342 = 476,342 : x
  2. Step 2: Convert to fraction form
    233,933/476,342 = 476,342/x
  3. Step 3: Cross multiply
    233,933x = 476,342 × 476,342
  4. Step 4: Simplify right side
    233,933x = 226,901,700,964
  5. Step 5: Solve for x
    x = 226,901,700,964/233,933
  6. Step 6: Final answer
    x = 969,943.11

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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.