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Finding the Third Proportional to 211,983 and 460,775

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Solution

The third proportional to 211,983 and 460,775 is: 1,001,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,983 : 460,775 = 460,775 : x
  2. Step 2: Convert to fraction form
    211,983/460,775 = 460,775/x
  3. Step 3: Cross multiply
    211,983x = 460,775 × 460,775
  4. Step 4: Simplify right side
    211,983x = 212,313,600,625
  5. Step 5: Solve for x
    x = 212,313,600,625/211,983
  6. Step 6: Final answer
    x = 1,001,559.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.