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Finding the Third Proportional to 207,324 and 430,224

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Solution

The third proportional to 207,324 and 430,224 is: 892,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,324 : 430,224 = 430,224 : x
  2. Step 2: Convert to fraction form
    207,324/430,224 = 430,224/x
  3. Step 3: Cross multiply
    207,324x = 430,224 × 430,224
  4. Step 4: Simplify right side
    207,324x = 185,092,690,176
  5. Step 5: Solve for x
    x = 185,092,690,176/207,324
  6. Step 6: Final answer
    x = 892,770.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.