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Finding the Third Proportional to 467,568 and 668,604

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Solution

The third proportional to 467,568 and 668,604 is: 956,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,568 : 668,604 = 668,604 : x
  2. Step 2: Convert to fraction form
    467,568/668,604 = 668,604/x
  3. Step 3: Cross multiply
    467,568x = 668,604 × 668,604
  4. Step 4: Simplify right side
    467,568x = 447,031,308,816
  5. Step 5: Solve for x
    x = 447,031,308,816/467,568
  6. Step 6: Final answer
    x = 956,077.64

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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.