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Finding the Third Proportional to 213,013 and 466,768

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Solution

The third proportional to 213,013 and 466,768 is: 1,022,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013 : 466,768 = 466,768 : x
  2. Step 2: Convert to fraction form
    213,013/466,768 = 466,768/x
  3. Step 3: Cross multiply
    213,013x = 466,768 × 466,768
  4. Step 4: Simplify right side
    213,013x = 217,872,365,824
  5. Step 5: Solve for x
    x = 217,872,365,824/213,013
  6. Step 6: Final answer
    x = 1,022,812.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.