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Finding the Third Proportional to 217,323 and 460,809

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Solution

The third proportional to 217,323 and 460,809 is: 977,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,323 : 460,809 = 460,809 : x
  2. Step 2: Convert to fraction form
    217,323/460,809 = 460,809/x
  3. Step 3: Cross multiply
    217,323x = 460,809 × 460,809
  4. Step 4: Simplify right side
    217,323x = 212,344,934,481
  5. Step 5: Solve for x
    x = 212,344,934,481/217,323
  6. Step 6: Final answer
    x = 977,093.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.