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Finding the Third Proportional to 566,744 and 884,568

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Solution

The third proportional to 566,744 and 884,568 is: 1,380,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,744 : 884,568 = 884,568 : x
  2. Step 2: Convert to fraction form
    566,744/884,568 = 884,568/x
  3. Step 3: Cross multiply
    566,744x = 884,568 × 884,568
  4. Step 4: Simplify right side
    566,744x = 782,460,546,624
  5. Step 5: Solve for x
    x = 782,460,546,624/566,744
  6. Step 6: Final answer
    x = 1,380,624.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.