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Finding the Third Proportional to 236,475 and 518,938.50

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Solution

The third proportional to 236,475 and 518,938.50 is: 1,138,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,475 : 518,938.50 = 518,938.50 : x
  2. Step 2: Convert to fraction form
    236,475/518,938.50 = 518,938.50/x
  3. Step 3: Cross multiply
    236,475x = 518,938.50 × 518,938.50
  4. Step 4: Simplify right side
    236,475x = 269,297,166,782.25
  5. Step 5: Solve for x
    x = 269,297,166,782.25/236,475
  6. Step 6: Final answer
    x = 1,138,797.62

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