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Finding the Third Proportional to 589,702 and 883,624

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Solution

The third proportional to 589,702 and 883,624 is: 1,324,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,702 : 883,624 = 883,624 : x
  2. Step 2: Convert to fraction form
    589,702/883,624 = 883,624/x
  3. Step 3: Cross multiply
    589,702x = 883,624 × 883,624
  4. Step 4: Simplify right side
    589,702x = 780,791,373,376
  5. Step 5: Solve for x
    x = 780,791,373,376/589,702
  6. Step 6: Final answer
    x = 1,324,043.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.