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Finding the Third Proportional to 217,341 and 460,845

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Solution

The third proportional to 217,341 and 460,845 is: 977,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,341 : 460,845 = 460,845 : x
  2. Step 2: Convert to fraction form
    217,341/460,845 = 460,845/x
  3. Step 3: Cross multiply
    217,341x = 460,845 × 460,845
  4. Step 4: Simplify right side
    217,341x = 212,378,114,025
  5. Step 5: Solve for x
    x = 212,378,114,025/217,341
  6. Step 6: Final answer
    x = 977,165.44

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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.