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Finding the Third Proportional to 215,592 and 445,014

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Solution

The third proportional to 215,592 and 445,014 is: 918,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,592 : 445,014 = 445,014 : x
  2. Step 2: Convert to fraction form
    215,592/445,014 = 445,014/x
  3. Step 3: Cross multiply
    215,592x = 445,014 × 445,014
  4. Step 4: Simplify right side
    215,592x = 198,037,460,196
  5. Step 5: Solve for x
    x = 198,037,460,196/215,592
  6. Step 6: Final answer
    x = 918,575.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.