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Finding the Third Proportional to 216,373 and 469,241

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Solution

The third proportional to 216,373 and 469,241 is: 1,017,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,373 : 469,241 = 469,241 : x
  2. Step 2: Convert to fraction form
    216,373/469,241 = 469,241/x
  3. Step 3: Cross multiply
    216,373x = 469,241 × 469,241
  4. Step 4: Simplify right side
    216,373x = 220,187,116,081
  5. Step 5: Solve for x
    x = 220,187,116,081/216,373
  6. Step 6: Final answer
    x = 1,017,627.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.