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Finding the Third Proportional to 233,373 and 476,601

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Solution

The third proportional to 233,373 and 476,601 is: 973,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,373 : 476,601 = 476,601 : x
  2. Step 2: Convert to fraction form
    233,373/476,601 = 476,601/x
  3. Step 3: Cross multiply
    233,373x = 476,601 × 476,601
  4. Step 4: Simplify right side
    233,373x = 227,148,513,201
  5. Step 5: Solve for x
    x = 227,148,513,201/233,373
  6. Step 6: Final answer
    x = 973,328.16

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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.