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Finding the Third Proportional to 214,281.50 and 460,811

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Solution

The third proportional to 214,281.50 and 460,811 is: 990,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,281.50 : 460,811 = 460,811 : x
  2. Step 2: Convert to fraction form
    214,281.50/460,811 = 460,811/x
  3. Step 3: Cross multiply
    214,281.50x = 460,811 × 460,811
  4. Step 4: Simplify right side
    214,281.50x = 212,346,777,721
  5. Step 5: Solve for x
    x = 212,346,777,721/214,281.50
  6. Step 6: Final answer
    x = 990,971.12

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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.