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Finding the Third Proportional to 213,166 and 460,487

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Solution

The third proportional to 213,166 and 460,487 is: 994,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,166 : 460,487 = 460,487 : x
  2. Step 2: Convert to fraction form
    213,166/460,487 = 460,487/x
  3. Step 3: Cross multiply
    213,166x = 460,487 × 460,487
  4. Step 4: Simplify right side
    213,166x = 212,048,277,169
  5. Step 5: Solve for x
    x = 212,048,277,169/213,166
  6. Step 6: Final answer
    x = 994,756.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.