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Finding the Third Proportional to 467,975 and 684,412

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Solution

The third proportional to 467,975 and 684,412 is: 1,000,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,975 : 684,412 = 684,412 : x
  2. Step 2: Convert to fraction form
    467,975/684,412 = 684,412/x
  3. Step 3: Cross multiply
    467,975x = 684,412 × 684,412
  4. Step 4: Simplify right side
    467,975x = 468,419,785,744
  5. Step 5: Solve for x
    x = 468,419,785,744/467,975
  6. Step 6: Final answer
    x = 1,000,950.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.