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Finding the Third Proportional to 256,654 and 529,568

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Solution

The third proportional to 256,654 and 529,568 is: 1,092,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,654 : 529,568 = 529,568 : x
  2. Step 2: Convert to fraction form
    256,654/529,568 = 529,568/x
  3. Step 3: Cross multiply
    256,654x = 529,568 × 529,568
  4. Step 4: Simplify right side
    256,654x = 280,442,266,624
  5. Step 5: Solve for x
    x = 280,442,266,624/256,654
  6. Step 6: Final answer
    x = 1,092,686.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.