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Finding the Third Proportional to 325,664 and 464,844

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Solution

The third proportional to 325,664 and 464,844 is: 663,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,664 : 464,844 = 464,844 : x
  2. Step 2: Convert to fraction form
    325,664/464,844 = 464,844/x
  3. Step 3: Cross multiply
    325,664x = 464,844 × 464,844
  4. Step 4: Simplify right side
    325,664x = 216,079,944,336
  5. Step 5: Solve for x
    x = 216,079,944,336/325,664
  6. Step 6: Final answer
    x = 663,505.77

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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.