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Finding the Third Proportional to 233,306 and 482,166

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Solution

The third proportional to 233,306 and 482,166 is: 996,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,306 : 482,166 = 482,166 : x
  2. Step 2: Convert to fraction form
    233,306/482,166 = 482,166/x
  3. Step 3: Cross multiply
    233,306x = 482,166 × 482,166
  4. Step 4: Simplify right side
    233,306x = 232,484,051,556
  5. Step 5: Solve for x
    x = 232,484,051,556/233,306
  6. Step 6: Final answer
    x = 996,476.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.