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Finding the Third Proportional to 216,586 and 333,337

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Solution

The third proportional to 216,586 and 333,337 is: 513,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,586 : 333,337 = 333,337 : x
  2. Step 2: Convert to fraction form
    216,586/333,337 = 333,337/x
  3. Step 3: Cross multiply
    216,586x = 333,337 × 333,337
  4. Step 4: Simplify right side
    216,586x = 111,113,555,569
  5. Step 5: Solve for x
    x = 111,113,555,569/216,586
  6. Step 6: Final answer
    x = 513,022.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.