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Finding the Third Proportional to 325,664 and 518,052

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Solution

The third proportional to 325,664 and 518,052 is: 824,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,664 : 518,052 = 518,052 : x
  2. Step 2: Convert to fraction form
    325,664/518,052 = 518,052/x
  3. Step 3: Cross multiply
    325,664x = 518,052 × 518,052
  4. Step 4: Simplify right side
    325,664x = 268,377,874,704
  5. Step 5: Solve for x
    x = 268,377,874,704/325,664
  6. Step 6: Final answer
    x = 824,094.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.