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Finding the Third Proportional to 284,933 and 451,184

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Solution

The third proportional to 284,933 and 451,184 is: 714,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,933 : 451,184 = 451,184 : x
  2. Step 2: Convert to fraction form
    284,933/451,184 = 451,184/x
  3. Step 3: Cross multiply
    284,933x = 451,184 × 451,184
  4. Step 4: Simplify right side
    284,933x = 203,567,001,856
  5. Step 5: Solve for x
    x = 203,567,001,856/284,933
  6. Step 6: Final answer
    x = 714,438.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.