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Finding the Third Proportional to 233,277.50 and 476,397

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Solution

The third proportional to 233,277.50 and 476,397 is: 972,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,277.50 : 476,397 = 476,397 : x
  2. Step 2: Convert to fraction form
    233,277.50/476,397 = 476,397/x
  3. Step 3: Cross multiply
    233,277.50x = 476,397 × 476,397
  4. Step 4: Simplify right side
    233,277.50x = 226,954,101,609
  5. Step 5: Solve for x
    x = 226,954,101,609/233,277.50
  6. Step 6: Final answer
    x = 972,893.23

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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.