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Finding the Third Proportional to 256,107 and 558,870

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Solution

The third proportional to 256,107 and 558,870 is: 1,219,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,107 : 558,870 = 558,870 : x
  2. Step 2: Convert to fraction form
    256,107/558,870 = 558,870/x
  3. Step 3: Cross multiply
    256,107x = 558,870 × 558,870
  4. Step 4: Simplify right side
    256,107x = 312,335,676,900
  5. Step 5: Solve for x
    x = 312,335,676,900/256,107
  6. Step 6: Final answer
    x = 1,219,551.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.