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Finding the Third Proportional to 300,192 and 456,477

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Solution

The third proportional to 300,192 and 456,477 is: 694,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,192 : 456,477 = 456,477 : x
  2. Step 2: Convert to fraction form
    300,192/456,477 = 456,477/x
  3. Step 3: Cross multiply
    300,192x = 456,477 × 456,477
  4. Step 4: Simplify right side
    300,192x = 208,371,251,529
  5. Step 5: Solve for x
    x = 208,371,251,529/300,192
  6. Step 6: Final answer
    x = 694,126.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.