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Finding the Third Proportional to 323,100 and 462,495

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Solution

The third proportional to 323,100 and 462,495 is: 662,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,100 : 462,495 = 462,495 : x
  2. Step 2: Convert to fraction form
    323,100/462,495 = 462,495/x
  3. Step 3: Cross multiply
    323,100x = 462,495 × 462,495
  4. Step 4: Simplify right side
    323,100x = 213,901,625,025
  5. Step 5: Solve for x
    x = 213,901,625,025/323,100
  6. Step 6: Final answer
    x = 662,029.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.