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Finding the Third Proportional to 239,940.75 and 514,792.50

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Solution

The third proportional to 239,940.75 and 514,792.50 is: 1,104,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,940.75 : 514,792.50 = 514,792.50 : x
  2. Step 2: Convert to fraction form
    239,940.75/514,792.50 = 514,792.50/x
  3. Step 3: Cross multiply
    239,940.75x = 514,792.50 × 514,792.50
  4. Step 4: Simplify right side
    239,940.75x = 265,011,318,056.25
  5. Step 5: Solve for x
    x = 265,011,318,056.25/239,940.75
  6. Step 6: Final answer
    x = 1,104,486.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.