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Finding the Third Proportional to 450,900 and 696,195

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Solution

The third proportional to 450,900 and 696,195 is: 1,074,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,900 : 696,195 = 696,195 : x
  2. Step 2: Convert to fraction form
    450,900/696,195 = 696,195/x
  3. Step 3: Cross multiply
    450,900x = 696,195 × 696,195
  4. Step 4: Simplify right side
    450,900x = 484,687,478,025
  5. Step 5: Solve for x
    x = 484,687,478,025/450,900
  6. Step 6: Final answer
    x = 1,074,933.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.