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Finding the Third Proportional to 256,676 and 562,952

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Solution

The third proportional to 256,676 and 562,952 is: 1,234,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,676 : 562,952 = 562,952 : x
  2. Step 2: Convert to fraction form
    256,676/562,952 = 562,952/x
  3. Step 3: Cross multiply
    256,676x = 562,952 × 562,952
  4. Step 4: Simplify right side
    256,676x = 316,914,954,304
  5. Step 5: Solve for x
    x = 316,914,954,304/256,676
  6. Step 6: Final answer
    x = 1,234,688.69

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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.