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Finding the Third Proportional to 233,638 and 366,026

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Solution

The third proportional to 233,638 and 366,026 is: 573,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,638 : 366,026 = 366,026 : x
  2. Step 2: Convert to fraction form
    233,638/366,026 = 366,026/x
  3. Step 3: Cross multiply
    233,638x = 366,026 × 366,026
  4. Step 4: Simplify right side
    233,638x = 133,975,032,676
  5. Step 5: Solve for x
    x = 133,975,032,676/233,638
  6. Step 6: Final answer
    x = 573,429.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.