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Finding the Third Proportional to 232,764 and 353,466

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Solution

The third proportional to 232,764 and 353,466 is: 536,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,764 : 353,466 = 353,466 : x
  2. Step 2: Convert to fraction form
    232,764/353,466 = 353,466/x
  3. Step 3: Cross multiply
    232,764x = 353,466 × 353,466
  4. Step 4: Simplify right side
    232,764x = 124,938,213,156
  5. Step 5: Solve for x
    x = 124,938,213,156/232,764
  6. Step 6: Final answer
    x = 536,759.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.