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Finding the Third Proportional to 256,585 and 369,601

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Solution

The third proportional to 256,585 and 369,601 is: 532,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,585 : 369,601 = 369,601 : x
  2. Step 2: Convert to fraction form
    256,585/369,601 = 369,601/x
  3. Step 3: Cross multiply
    256,585x = 369,601 × 369,601
  4. Step 4: Simplify right side
    256,585x = 136,604,899,201
  5. Step 5: Solve for x
    x = 136,604,899,201/256,585
  6. Step 6: Final answer
    x = 532,396.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.