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Finding the Third Proportional to 278,320.50 and 607,185

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Solution

The third proportional to 278,320.50 and 607,185 is: 1,324,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,320.50 : 607,185 = 607,185 : x
  2. Step 2: Convert to fraction form
    278,320.50/607,185 = 607,185/x
  3. Step 3: Cross multiply
    278,320.50x = 607,185 × 607,185
  4. Step 4: Simplify right side
    278,320.50x = 368,673,624,225
  5. Step 5: Solve for x
    x = 368,673,624,225/278,320.50
  6. Step 6: Final answer
    x = 1,324,636.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.