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Finding the Third Proportional to 316,172 and 482,286

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Solution

The third proportional to 316,172 and 482,286 is: 735,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,172 : 482,286 = 482,286 : x
  2. Step 2: Convert to fraction form
    316,172/482,286 = 482,286/x
  3. Step 3: Cross multiply
    316,172x = 482,286 × 482,286
  4. Step 4: Simplify right side
    316,172x = 232,599,785,796
  5. Step 5: Solve for x
    x = 232,599,785,796/316,172
  6. Step 6: Final answer
    x = 735,674.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.