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Finding the Third Proportional to 256,264 and 560,796

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Solution

The third proportional to 256,264 and 560,796 is: 1,227,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,264 : 560,796 = 560,796 : x
  2. Step 2: Convert to fraction form
    256,264/560,796 = 560,796/x
  3. Step 3: Cross multiply
    256,264x = 560,796 × 560,796
  4. Step 4: Simplify right side
    256,264x = 314,492,153,616
  5. Step 5: Solve for x
    x = 314,492,153,616/256,264
  6. Step 6: Final answer
    x = 1,227,219.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.