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Finding the Third Proportional to 467,568 and 668,574

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Solution

The third proportional to 467,568 and 668,574 is: 955,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,568 : 668,574 = 668,574 : x
  2. Step 2: Convert to fraction form
    467,568/668,574 = 668,574/x
  3. Step 3: Cross multiply
    467,568x = 668,574 × 668,574
  4. Step 4: Simplify right side
    467,568x = 446,991,193,476
  5. Step 5: Solve for x
    x = 446,991,193,476/467,568
  6. Step 6: Final answer
    x = 955,991.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.