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Finding the Third Proportional to 325,957.50 and 518,664

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Solution

The third proportional to 325,957.50 and 518,664 is: 825,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,957.50 : 518,664 = 518,664 : x
  2. Step 2: Convert to fraction form
    325,957.50/518,664 = 518,664/x
  3. Step 3: Cross multiply
    325,957.50x = 518,664 × 518,664
  4. Step 4: Simplify right side
    325,957.50x = 269,012,344,896
  5. Step 5: Solve for x
    x = 269,012,344,896/325,957.50
  6. Step 6: Final answer
    x = 825,298.83

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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.