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Finding the Third Proportional to 256,281 and 560,838

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Solution

The third proportional to 256,281 and 560,838 is: 1,227,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,281 : 560,838 = 560,838 : x
  2. Step 2: Convert to fraction form
    256,281/560,838 = 560,838/x
  3. Step 3: Cross multiply
    256,281x = 560,838 × 560,838
  4. Step 4: Simplify right side
    256,281x = 314,539,262,244
  5. Step 5: Solve for x
    x = 314,539,262,244/256,281
  6. Step 6: Final answer
    x = 1,227,321.82

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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.