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Finding the Third Proportional to 215,436 and 460,197

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Solution

The third proportional to 215,436 and 460,197 is: 983,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,436 : 460,197 = 460,197 : x
  2. Step 2: Convert to fraction form
    215,436/460,197 = 460,197/x
  3. Step 3: Cross multiply
    215,436x = 460,197 × 460,197
  4. Step 4: Simplify right side
    215,436x = 211,781,278,809
  5. Step 5: Solve for x
    x = 211,781,278,809/215,436
  6. Step 6: Final answer
    x = 983,035.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.