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Finding the Third Proportional to 268,216 and 558,472

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Solution

The third proportional to 268,216 and 558,472 is: 1,162,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,216 : 558,472 = 558,472 : x
  2. Step 2: Convert to fraction form
    268,216/558,472 = 558,472/x
  3. Step 3: Cross multiply
    268,216x = 558,472 × 558,472
  4. Step 4: Simplify right side
    268,216x = 311,890,974,784
  5. Step 5: Solve for x
    x = 311,890,974,784/268,216
  6. Step 6: Final answer
    x = 1,162,835.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.