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Finding the Third Proportional to 256,787 and 572,582

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Solution

The third proportional to 256,787 and 572,582 is: 1,276,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,787 : 572,582 = 572,582 : x
  2. Step 2: Convert to fraction form
    256,787/572,582 = 572,582/x
  3. Step 3: Cross multiply
    256,787x = 572,582 × 572,582
  4. Step 4: Simplify right side
    256,787x = 327,850,146,724
  5. Step 5: Solve for x
    x = 327,850,146,724/256,787
  6. Step 6: Final answer
    x = 1,276,739.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.