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Finding the Third Proportional to 280,078 and 430,500

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Solution

The third proportional to 280,078 and 430,500 is: 661,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,078 : 430,500 = 430,500 : x
  2. Step 2: Convert to fraction form
    280,078/430,500 = 430,500/x
  3. Step 3: Cross multiply
    280,078x = 430,500 × 430,500
  4. Step 4: Simplify right side
    280,078x = 185,330,250,000
  5. Step 5: Solve for x
    x = 185,330,250,000/280,078
  6. Step 6: Final answer
    x = 661,709.42

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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.