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Finding the Third Proportional to 432,744 and 665,568

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Solution

The third proportional to 432,744 and 665,568 is: 1,023,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,744 : 665,568 = 665,568 : x
  2. Step 2: Convert to fraction form
    432,744/665,568 = 665,568/x
  3. Step 3: Cross multiply
    432,744x = 665,568 × 665,568
  4. Step 4: Simplify right side
    432,744x = 442,980,762,624
  5. Step 5: Solve for x
    x = 442,980,762,624/432,744
  6. Step 6: Final answer
    x = 1,023,655.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.