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Finding the Third Proportional to 213,747 and 457,361

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Solution

The third proportional to 213,747 and 457,361 is: 978,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,747 : 457,361 = 457,361 : x
  2. Step 2: Convert to fraction form
    213,747/457,361 = 457,361/x
  3. Step 3: Cross multiply
    213,747x = 457,361 × 457,361
  4. Step 4: Simplify right side
    213,747x = 209,179,084,321
  5. Step 5: Solve for x
    x = 209,179,084,321/213,747
  6. Step 6: Final answer
    x = 978,629.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.