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Finding the Third Proportional to 284,950 and 451,205

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Solution

The third proportional to 284,950 and 451,205 is: 714,462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,950 : 451,205 = 451,205 : x
  2. Step 2: Convert to fraction form
    284,950/451,205 = 451,205/x
  3. Step 3: Cross multiply
    284,950x = 451,205 × 451,205
  4. Step 4: Simplify right side
    284,950x = 203,585,952,025
  5. Step 5: Solve for x
    x = 203,585,952,025/284,950
  6. Step 6: Final answer
    x = 714,462.02

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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.