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Finding the Third Proportional to 467,984.50 and 684,426.75

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Solution

The third proportional to 467,984.50 and 684,426.75 is: 1,000,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,984.50 : 684,426.75 = 684,426.75 : x
  2. Step 2: Convert to fraction form
    467,984.50/684,426.75 = 684,426.75/x
  3. Step 3: Cross multiply
    467,984.50x = 684,426.75 × 684,426.75
  4. Step 4: Simplify right side
    467,984.50x = 468,439,976,115.56
  5. Step 5: Solve for x
    x = 468,439,976,115.56/467,984.50
  6. Step 6: Final answer
    x = 1,000,973.27

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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.