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Finding the Third Proportional to 214,280.50 and 460,809

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Solution

The third proportional to 214,280.50 and 460,809 is: 990,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,280.50 : 460,809 = 460,809 : x
  2. Step 2: Convert to fraction form
    214,280.50/460,809 = 460,809/x
  3. Step 3: Cross multiply
    214,280.50x = 460,809 × 460,809
  4. Step 4: Simplify right side
    214,280.50x = 212,344,934,481
  5. Step 5: Solve for x
    x = 212,344,934,481/214,280.50
  6. Step 6: Final answer
    x = 990,967.14

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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.