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Finding the Third Proportional to 214,284 and 460,818

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Solution

The third proportional to 214,284 and 460,818 is: 990,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,284 : 460,818 = 460,818 : x
  2. Step 2: Convert to fraction form
    214,284/460,818 = 460,818/x
  3. Step 3: Cross multiply
    214,284x = 460,818 × 460,818
  4. Step 4: Simplify right side
    214,284x = 212,353,229,124
  5. Step 5: Solve for x
    x = 212,353,229,124/214,284
  6. Step 6: Final answer
    x = 990,989.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.