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Finding the Third Proportional to 199,416 and 440,288

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Solution

The third proportional to 199,416 and 440,288 is: 972,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,416 : 440,288 = 440,288 : x
  2. Step 2: Convert to fraction form
    199,416/440,288 = 440,288/x
  3. Step 3: Cross multiply
    199,416x = 440,288 × 440,288
  4. Step 4: Simplify right side
    199,416x = 193,853,522,944
  5. Step 5: Solve for x
    x = 193,853,522,944/199,416
  6. Step 6: Final answer
    x = 972,106.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.