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Finding the Third Proportional to 303,848 and 664,904

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Solution

The third proportional to 303,848 and 664,904 is: 1,454,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,848 : 664,904 = 664,904 : x
  2. Step 2: Convert to fraction form
    303,848/664,904 = 664,904/x
  3. Step 3: Cross multiply
    303,848x = 664,904 × 664,904
  4. Step 4: Simplify right side
    303,848x = 442,097,329,216
  5. Step 5: Solve for x
    x = 442,097,329,216/303,848
  6. Step 6: Final answer
    x = 1,454,995.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.