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Finding the Third Proportional to 256,248 and 589,824

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Solution

The third proportional to 256,248 and 589,824 is: 1,357,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,248 : 589,824 = 589,824 : x
  2. Step 2: Convert to fraction form
    256,248/589,824 = 589,824/x
  3. Step 3: Cross multiply
    256,248x = 589,824 × 589,824
  4. Step 4: Simplify right side
    256,248x = 347,892,350,976
  5. Step 5: Solve for x
    x = 347,892,350,976/256,248
  6. Step 6: Final answer
    x = 1,357,639.28

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.