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Finding the Third Proportional to 589,486 and 883,318

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Solution

The third proportional to 589,486 and 883,318 is: 1,323,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,486 : 883,318 = 883,318 : x
  2. Step 2: Convert to fraction form
    589,486/883,318 = 883,318/x
  3. Step 3: Cross multiply
    589,486x = 883,318 × 883,318
  4. Step 4: Simplify right side
    589,486x = 780,250,689,124
  5. Step 5: Solve for x
    x = 780,250,689,124/589,486
  6. Step 6: Final answer
    x = 1,323,611.91

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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.