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Finding the Third Proportional to 410,244.75 and 886,099.50

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Solution

The third proportional to 410,244.75 and 886,099.50 is: 1,913,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,244.75 : 886,099.50 = 886,099.50 : x
  2. Step 2: Convert to fraction form
    410,244.75/886,099.50 = 886,099.50/x
  3. Step 3: Cross multiply
    410,244.75x = 886,099.50 × 886,099.50
  4. Step 4: Simplify right side
    410,244.75x = 785,172,323,900.25
  5. Step 5: Solve for x
    x = 785,172,323,900.25/410,244.75
  6. Step 6: Final answer
    x = 1,913,911.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.