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Finding the Third Proportional to 329,228 and 482,140

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Solution

The third proportional to 329,228 and 482,140 is: 706,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,228 : 482,140 = 482,140 : x
  2. Step 2: Convert to fraction form
    329,228/482,140 = 482,140/x
  3. Step 3: Cross multiply
    329,228x = 482,140 × 482,140
  4. Step 4: Simplify right side
    329,228x = 232,458,979,600
  5. Step 5: Solve for x
    x = 232,458,979,600/329,228
  6. Step 6: Final answer
    x = 706,072.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.