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Finding the Third Proportional to 410,245.50 and 886,101

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Solution

The third proportional to 410,245.50 and 886,101 is: 1,913,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,245.50 : 886,101 = 886,101 : x
  2. Step 2: Convert to fraction form
    410,245.50/886,101 = 886,101/x
  3. Step 3: Cross multiply
    410,245.50x = 886,101 × 886,101
  4. Step 4: Simplify right side
    410,245.50x = 785,174,982,201
  5. Step 5: Solve for x
    x = 785,174,982,201/410,245.50
  6. Step 6: Final answer
    x = 1,913,914.92

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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.