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Finding the Third Proportional to 316,164 and 482,274

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Solution

The third proportional to 316,164 and 482,274 is: 735,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,164 : 482,274 = 482,274 : x
  2. Step 2: Convert to fraction form
    316,164/482,274 = 482,274/x
  3. Step 3: Cross multiply
    316,164x = 482,274 × 482,274
  4. Step 4: Simplify right side
    316,164x = 232,588,211,076
  5. Step 5: Solve for x
    x = 232,588,211,076/316,164
  6. Step 6: Final answer
    x = 735,656.85

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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.