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Finding the Third Proportional to 256,593 and 562,758

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Solution

The third proportional to 256,593 and 562,758 is: 1,234,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,593 : 562,758 = 562,758 : x
  2. Step 2: Convert to fraction form
    256,593/562,758 = 562,758/x
  3. Step 3: Cross multiply
    256,593x = 562,758 × 562,758
  4. Step 4: Simplify right side
    256,593x = 316,696,566,564
  5. Step 5: Solve for x
    x = 316,696,566,564/256,593
  6. Step 6: Final answer
    x = 1,234,236.97

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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.